A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]

Step-by-step explanation:

Let's assume the tree forms a right angle with the ground.

The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.

Let's draw a diagram. (not to scale)

We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.

x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.

[tex]tan(\theta)=opposite/adjacent[/tex]

The angle (θ) is 80. The opposite is x. The adjacent is 18.

[tex]tan(80)=x/18[/tex]

Now, solve for x by isolating it.

x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.

[tex]18*tan(80)=x/18*18[/tex]

[tex]18*tan(80)=x[/tex]

[tex]18*5.67128182=x[/tex]

[tex]102.0830728=x[/tex]

Round to the nearest tenth. The 8 in the hundredth place tells us to round up.

[tex]102.1\approx x[/tex]

The height of the tree is about 102.1 meters.

**diagram is not to scale

A Man Wants To Cut Down A Tree In His Yard. To Ensure That The Tree Doesnt Hit Anything He Needs To Know

Related Questions

Please help I need help fast

Answers

Answer:This problem asks how many groups of 1/3 are in 4.

Quotient :12

Step-by-step explanation:

What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3

Answers

(4x-4y) + (-9x-4y) = -2 + -3
gather like terms :
4x-9x-4y-4y = -5
-5x-8y = -5

can anyone help me solve this twenty points if you solve it

Answers

Answer:

Option d is the ryt answer.

Point slope form:

y-y1 = m(x-x1)

Slope intercept form:

y = mx+b

Three pumpkins are catapulted at a contest. How much farther does Pumpkin C travel than Pumpkin A? • Pumpkin A travels 0.61 mile. • Pumpkin B travels 0.28 mile farther than Pumpkin A. • Pumpkin B travels 0.06 mile farther than Pumpkin C.

Answers

Answer:

0.22 miles

Step-by-step explanation:

Let

A = Distance pumpkin A travels = 0.61 miles

Distance pumpkin B travels is 0.28 mile farther than Pumpkin A

[tex]B=0.28+A\\\Rightarrow B=0.28+0.61\\\Rightarrow B=0.89\ \text{miles}[/tex]

Distance pumpkin B travels is 0.06 miles further than pumpkin C

[tex]B=0.06+C\\\Rightarrow C=B-0.06\\\Rightarrow C=0.89-0.06\\\Rightarrow C=0.83\ \text{miles}[/tex]

To calculate how much farther pumpkin C travels than pumpkin A we have the subtract their distances

[tex]C-A=0.83-0.61=0.22\ \text{miles}[/tex]

So, pumpkin C traveled 0.22 miles more than pumpkin A.

Can someone give me the reason why 2 is congruent to 11

Answers

Answer:

alternate int. <s of parallel lines

Step-by-step explanation:

We are told that lines r and s are parallel.

Lines r and s are curt by transversal line m.

Theorem:

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

Angles 2 and 11 are alternate interior angle, so they are congruent.

Answer: alternate int. <s of parallel lines

2 is congruent to 11. A way to justify this is because 2 is congruent to 3 because they are vertical angles. 3 is congruent to 11 because they are corresponding angles. Thus 2 is congruent to 11 through the transitive property.

What is the factored form of x°-1?
(x2-1)(x2+x+1)
o (x-1)(x2-x+1)
o (x-1)(x2+x+1)
o (p-1)(x2+2x+1)

Answers

Answer:

o (x-1)(x2-x+1)

Step-by-step explanation:

i think hopefully it's right

Which relationship between the legs and the hypotenuse of the right triangle is correct?

Answers

Answer:The answer is the option C

Step-by-step explanation:we know that

In a right triangle the Pythagorean Theorem states that

where

c is the hypotenuse (the greater side)

a,b are the legs of the right triangle

in this problem we have

substitute the values

Answer:

15^2 + 16^2= x^2

Step-by-step explanation:

I took the usa test prep test and this is how you calculate it

12x+18 rewrite the expression using distributive property ​

Answers

Answer:

ab+ac=a(b+c)

a is a common factor

find the greatest common factor

12x+18

12x=2*2*3*x

18=2*3*3

GCF=2*3=6

12x+18=

6(2x)+6(3)=

6(2x+3)

Step-by-step explanation:

A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function h(t)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. Determine when the balloon is more than 10 feet above the ground. Round your answer to the nearest thousandth.

Answers

Answer:

t>2.034s and t>0.154s

Step-by-step explanation:

Given the quadratic function h(t)=-16t^2+35t+5 which represents the height of the balloon, h, in feet t seconds after it is thrown.

To determine when the balloon is more than 10feet above the ground, we will substitute h = 10 into the expression to have;

h(t)=-16t^2+35t+5

-16t^2+35t+5>10

-16t^2+35t+5-10>0

16t^2-35t+5>0

Find t;

t > 35±√35²-4(16)(5)/2(16)

t>35±√1225-320/32

t>35±√905/32

t>35±30.08/32

t > 35+30.08/32 and t > 35-30.08/32

t>65.08/32 and t>4.92/32

t>2.034s and t>0.154s

Hence the balloon is more than 10feet above the ground at when t>2.034s and t>0.154s

A quadratic equation in standard form is written az = but c, where a, b, and
care real numbers and a is not zero.
A. True
B. False

Answers

Answer:

false

Step-by-step explanation:

whoever can answer 2+ can get brainliest! i need help pleaseeee

Answers

Answer:

1. The answer is 3 students

2. 3.8, or rounded, 3.5

3. 4 batches of brownies

4. 16/9, 1.80, or 1.78

Step-by-step explanation:

1. If you divide 1/4 by 15, that would equal 3.75. Since you can't have partial of a person XD you should round it back to 3.

2. If you divide 1/5 by 19, that would be 3.8.

3. If you divide 2/3 by 6, that would be 4.

4. 1/9 divided by 16 would be 16/9. As a decimal, it would be 1.777778. Rounded, it would be 1.80, or 1.78.

Hope this helps you!

Kevin is opening up a bookstore, where he sells both new and old books. He charges $10.75 for a new book, and $3.50 for an old book. What was Kevin's revenue last month if he sold 18 new books and 21 old books?​

Answers

The revenue last month Kevin, if he sold 18 new books and 21 old books, will be  $ 267.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Kevin is opening up a bookstore, where he sells both new and old books.

He charges $10.75 for a new book and $3.50 for an old book.

Then the revenue last month Kevin, if he sold 18 new books and 21 old books, will be

Then the total revenue will be

Total revenue = 10.75 x 18 + 3.50 x 21

Total revenue = 193.5 + 73.5

Total revenue = $ 267

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

can someone help me with this asap.​

Answers

Answer:

fourth option

Step-by-step explanation:

Given

3x < - 9 ( divide both sides by 3 )

x < - 3

solution set is { x | x < - 3 }

The sum of three consecutive numbers is 123.
What is the smallest of the three numbers?

Answers

Answer:

The three numbers are 40, 41 and 42. So the answer would be 40

Can somebody help with Grade7math ? It’s like about dividing integers...

Answers

Answer:

I would but I suck at math.

Step-by-step explanation:

I'll help you out with the giver later. lol

please complete it (picture)​

Answers

Answer:

1a. 250

1b. 140

2a. 2530

2b. 250

Step-by-step explanation:

it for dreelliot only 2+2 = ? ​

Answers

Answer:

4

Step-by-step explanation:

+

that is as simple as I could put it you literally just need to count the skulls

Which line has a slope of 1/2?

Answers

Answer:

Line B

Step-by-step explanation:

The slope is the rise over run of a line, in this case is rise of 1 unit over the run of 2 units

#1: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#).*
2x + 5y = -16
-3x + 7y = -5

Answers

Answer:

[tex](-3,-2)[/tex]

Step-by-step explanation:

First, you need to get one like term in each equation the same in order to eliminate. To do less damage to the equation, we'll use the x terms.

To get the x terms the same, multiply both equations by the opposite x term:

[tex]-3(2x+5y)=-3(-16)\\\\2(-3x+7y)=2(-5)[/tex]

Simplify by multiplying. Use the distributive property for the left side (remember, two negatives make a positive and a negative multiplied by a positive will always be negative):

[tex]-3(2x)-3(5y)=-3(-16)\\\\2(-3x)+2(7y)=2(-15)\\\\\\-6x-15y=48\\\\-6x+14y=-10[/tex]

Now subtract all like terms. The x terms cancel out:

[tex]-6x-(-6x)=0\\\\-15y-14y=-29y\\\\48-(-10)=58\\\\-29y=58[/tex]

Now solve the new equation for y. Isolate the variable by using inverse operations. The term can be seen as -29×y. In order to isolate the variable, use division (opposite of multiplication). Divide both sides by 29:

[tex]\frac{-29y}{29} =\frac{58}{29} \\\\-1y=2[/tex]

Make the variable positive. Multiply both sides by -1:

[tex]-1(-1y)=-1(2)\\\\y=-2[/tex]

The value of y is -2. Insert this value into either original equation:

[tex]2x+5(-2)=-16[/tex]

Solve for x. Simplify multiplication:

[tex]2x-10=-16[/tex]

Use inverse operations to get like terms on the same side of the equation. Add 10 to both sides (addition is the opposite of subtraction) to cancel out the -10 on the left:

[tex]2x-10+10=-16+10\\\\2x=-6[/tex]

Isolate the variable using inverse operations. The x term can be seen as 2×x. Division is the opposite of multiplication, so divide both sides by 2:

[tex]\frac{2x}{2}=\frac{-6}{2} \\\\x=-3[/tex]

The value of x is -3. Therefore, the solution to the system is:

[tex](-3_{x},-2_{y})[/tex]

:Done

HELP ME ASAP YOU GET 10 POINTS

Answers

Answer:

domain 12

range 24

brainliest?

domain is 12 range is 24

A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8

Answers

Answer: B: 4

Step-by-step explanation:

A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.

We want to find a 5 digit flippy number, this can be: modeled with:

N = ababa

Where a and b are single digit numbers.

If we impose that N must end with a zero, then we will have:

N  = 0b0b0 = b0b0

This is a 4-digit number, so we can discard all the options that end with a zero.

Then the only option that we have are the numbers like:

B = 5b5b5

This number will be only divisible by 15 if:

5 + b + 5 + b + 5 = K is divisible by 3.

Then let's try find the possible values of b.

K = 3*5 + 2*b

K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.

Then we want 2*b to be divisible by 3.

And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}

The options are:

2*0 = 0 is divisible by 3.

2*3  = 6 is divisible by 3.

2*6 = 12 is divisible by 3

2*9 = 12 is divisible by 3.

Then we have four values of b such that:

N = 5b5b5 is divisible by 15.

Then the correct option is: B: 4

Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I don’t know (I have been riding for 12 years) so I know a lot of things (also don’t tell me they can sleep standing up I already know that it’s kinda obvious)

Answers

Here are a few fun facts:

A 19th century horse named 'Old Billy' is said to have lived 62 years.

Horses can sleep both lying down and standing up.

Horses can run shortly after birth.

Horses have around 205 bones in their skeleton.

Horses have been domesticated for over 5000 years.

Horses use their ears, eyes and nostrils to express their mood.

Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.

The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.

The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.

I hope you learned something new!

Solve the following functions:

f(x) = 20x - 90 find f (x) = 10

Answers

Answer:

x=5

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

56 riders

Step-by-step explanation:

With the proportion given, cross multiply, then divide:

70 × 80 = 56005600 ÷ 100 = 56So, the answer is 56 riders

I hope this helps!

[tex] \:\:\:\:\:\frac{70}{100} = \frac{x}{80} \\ \\ = > \frac{7 \cancel0}{10 \cancel0} = \frac{x}{80} \\ \\ = > x = \frac{7 \times 80}{10} \\ \\ = > x = \frac{7 \times 8 \cancel0}{1 \cancel0} \\ \\ = > x = \green{\boxed{56 \: rides}}[/tex]

Jeremiah's credit card has an APR of 22% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
End of Previous
Month Balance
$0.00
2 $255.87
3 $297.39
4 $319.80
5 $318.72
6 $531.98
7 $460.64
New
Charges
$255.87
$156.83
$96.96
$133.05
$267.42
$78.91
$301.48
Payment
Received
$0.00
$120.00
$80.00
$140.00
$60.00
$160.00
$220.00
Finance
Charges
$0.00
$4.69
$5.45
$5.86
$5.84
$9.75
$8.45
Principal
Paid
$0.00
$115.31
$74.55
$134.14
$54.16
$150.25
$211.55
New
Balance
$255.87
$297.39
$319.80
$318.72
$531.98
$460.64
$550.57
On what amount of money will Jeremiah be charged interest for month 8?
A. $301.48
B. $220.00

Answers

Answer: it's $550.57

Step-by-step explanation:

Although you can draw an infinite number of lines through the midpoint of a
segment, you can draw only one line that is to the line segment.

Answers

Answer: Perpendicular

Step-by-step explanation: Took the quiz :)

Choose the statement that best describes a solution of a system of linear inequalities.(1 point)

A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.

A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.

A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.

A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Answers

Answer: A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Step-by-step explanation:

A system of linear inequalities can be written as:

y < a*x + b

y < c*x + d

or

y ≤ a*x + b

y ≤ c*x + d

In the first case, the borders are not included in the solutions, and in the second case, the borders are included.

Where the solutions will be points like (x, y), where these points must be solutions for both inequalities.

Then the only option that is correct for a general system of inequalities is:

A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Answer:

A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Tilly and Lilly worked together on a job. Tilly earned twice as much as Lilly, and together they earned $510. How much did each person earn? Use the 5D Process, showing all your work.

Answers

Answer:

Lilly earns $170

Tilly earns $340

Step-by-step explanation:

Given that

Tilly earned twice as much as Lilly

If Lilly's earning = x, then Tilly's earning = 2x

Total amount they both earned = $510

x + 2x = $510

3x = $510

3x / 3 = $510 /3

x = $170

Hence,

Lilly earns x = $170

Tilly earns, 2x = 2* 170 = $340

Find a line parallel to
y = 2x + 3
that passes through
the point (0,6)
The answer should be in
the form of y = mx +b
m =
__, b =
(pls hurry)

Answers

M is 2 and b is 3 that is the answer to it

Answer: m = 2; b = 6

y = mx + b

because the line  parallel to  y = 2x + 3

=> [tex]\left \{ {{m=2} \atop {b\neq 3}} \right.[/tex]

the line passes through  the point (0,6) => 6 = b

Step-by-step explanation:

Which is an equation of the line with slope 1/2 that contains (–4, 7)?

Answers

Answer:

y=(-1/2)x-1

Step-by-step explanation:

hope it helps and plz give me Brainliest plz  

Equation of line is y = 1/2x + 9 which passes through the point (-4, 7) and has slope 1/2.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Point on the line = (-4, 7).

And, The slope of the line = 1/2

Since, The equation of line passes through the point (- 4, 7).

and, Slope of the line is,

⇒ m = 1/2

Hence, The equation of line is,

⇒ y - 7 = 1/2 (x - (-4))

⇒ y - 7 = 1/2 (x + 4)

⇒ y - 7 = 1/2x + 2

⇒ y = 1/2x + 2 + 7

⇒ y = 1/2x + 9

Learn more about the equation of line visit:

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