At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.

Answers

Answer 1

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft


Related Questions

What is the area of a circle with a radius of 20 inches?
Group of answer choices

1256 square inches

314 square inches

31.4 square inches

125.6 square inches

Answers

Answer:

1256 square inches

Step-by-step explanation:

Area of a circle:

A = πr²

Given:

r = 20

Work:

A = πr²

A=(3.14)20²

A = 3.14(400)

A = 1256

Answer:

1256 square inches.

Step-by-step explanation:

20 squared * π = 1256 square inches

Simplify the following expressions to have fewer terms (MIDDLE SCHOOL)

5x-3+(4x-6)+2

4y+3-(8x-2)

Answers

Answer:

Install math calculator

Thank you

Answer:

x=1\9

Step-by-step explanation:

first part:

5x-3+4x+2

5x+4x-3+2

9x-1  

9x=1

x=1\9 answer.

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

pls helpppppp !!
tysmmmm <33

Answers

Answer:

180

Step-by-step explanation:

From basic rules of a triangle we know that the interior angles of a triangle have to add up to equal 180°

But here is a formula for future references for finding the sum of the interior angles

interior angle sum = (n-2)180

where n = number of sides

and here is an example:

a triangle has 3 sides so we plug in 3 for n

(3-2)180

3-2=1

1*180 = 180

so the interior angles add up to equal 180

do not send links or files!! i really need help lol

Answers

Answer:

x²+11x+30

Step-by-step explanation:

for this question, all we need to do is multiply (x+5) by (x+6)

we can use the distributive property.

(x+5)(x+6)

x² + 5x + 6x + 30

x² + 11x + 30

help pls Evaluate.



​​ 169−−−√ ​



Enter your answer in the box.

Answers

Answer:

square root is 13

Step-by-step explanation:

Answer:

13!

Step-by-step explanation:

i used my calculator and did the test k-12! its right!

Pls help me I don’t know how to do it!

Answers

Answer:

864

Step-by-step explanation:

To find the area of a shape, you have to multiply length times width.

Answer:

72 ft. sq.

Step-by-step explanation:

The way to look at it it to multiply length times width ( l x w )

there are 2 obvious  numbers to get the answer, which is 8 and 9 so 8 x 9 = 72

HELP PLEASE!!! WILL CROWN BRAINLIEST....
The temperature on Sunday was 7 C. The temperature dropped 8 C on Monday
and dropped twice as much on Tuesday. What was the temperature on Tuesday?

Answers

Answer: - 17 C

Step-by-step explanation: 7 - 8 is negative 1 and twice as much of 8 is 16. -1 minus 16 is negative 17 (-17).

HELP PLEASE‼️
There are 148 legs in a farm yard full of goats and chickens. There are 62 total animals. How many of each are there.

Answers

It is 12 goats and 50 chickens to make those animals and that exact number of legs

I need help with (G)

Answers

Answer:

[tex]2^{5}[/tex]

Step-by-step explanation:

139°
(17x + 3)
answer

Answers

Answer:

x= 8

Step-by-step explanation:

17x + 3 = 139

17x = 136

x = 8

I will give 50 points for the answer

Answers

Answer:

nosee

Step-by-step explanation:

The student forgot about the tenth and hundredth place value.
17.5 and 17.05 are different
Make them same place value
17.50 and 17.05
.50 is greater than .05
The correct answer would be 17.5>17.05

Jaelynn rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 4?

Answers

6 possibilities

Rolling a 2 is 1/6
Rolling a 4 is 1/6

2 or 4 is 1/6 + 1/6
2/6
1/3 or 33.3% chance

Write (2/3)^2 in expanded form,​

Answers

Answer:

4/9, or 0.4∞

but 0.4∞ has a repeating decimal, so the expanded form is ∞ also

During a blind taste test of 8 different sodas, some people were asked to choose a favorite. Each dot represents one person. If the ratio of people choosing B to people choosing H stays the same, he many people will choose H if the number of people who choose B increases to 20​

Answers

Answer:

20:5

Step-by-step explanation:

1. What is the ratio for B and H?

Ratio = 4 to 1 or 4:1

2. What is the question asking?

The question is increasing 5 to 20. What is the quotient of 20 and 5? 4! The question is basically multiplying B by 5. Now, since math is a very jealous subject, it needs to be done on the other side too! So you need to multiply the B, which is 1, by 5.

3. 1 x 5?

5

4. Answer

So, since B is 20 and H is 5, the ratio would be 20:5!

Hiii, so I REALLY want to rank up, and I just need 4 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!

Answer:

Step-by-step explanation:

J

find cos B in the triangle

Answers

Answer: A: 5/13

Explanation: Cos = Adjacent/ Hypotenuse

henry ford had 900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 car parts and the rate of 99999999999999999999999999999999999999999999999999999999999999999999 x 99999999999999999999999999999999999999999. how many car parts will he have?

Answers

Answer:

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Find ZUWT helpp plzz dont put links

Answers

Answer:

i can't see clear

3x+5⁰ 2x-25⁰ supplementary angles​

Answers

Answer:

x=40, ∠ACB=125, ∠ACD= 55

Step-by-step explanation:

In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.

With this information, we can conclude 3x+5+2x-25=180.

To solve this equation for x,

1. Combine like terms

5x-20=180

2. Add 20 to both sides

5x=200

3. Divide both sides by 5.

x=40

Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.

1. ∠ACB: 3(40)+5

120+5

∠ACB = 125

2. ∠ACD: 2(40)-25

80-25

∠ACD = 55

Answer:x=40

Step-by-step explanation:

5x-20=180

5x=200

X=40

A small company has a fleet of 3 pickup trucks and 4 delivery vans. A larger company has the same ratio of pickup trucks to delivery vans. If the larger company has 45 pickup trucks, how many delivery vans does it have?

Answers

Answer:

60 delivery vans

Step-by-step explanation:

Smaller company:

Pickup truck : delivery van = 3 : 4

If the larger company has 45 pickup trucks

Let x = number of delivery vans

Larger company:

Pickup truck : delivery van = 45 : x

Equate both ratios

3 : 4 = 45 : x

3/4 = 45/x

Cross product

3 * x = 4 * 45

3x = 180

x = 180/3

x = 60

x = number of delivery vans = 60

1 point
Ravi is shooting arrows at a target. The experimental probability that one
will hit a bull's eye is 12. If Ravi shoots 20 arrows, how many times can he
expect to hit a bull's eye?
O 10
O 20

Answers

Answer:

20

Step-by-step explanation:

The answer is 20 you’re welcome

The number of calories of a food item varies directly with the size of the portion. If a 2-inch slice of a certain delicacy contains 170 calories, how many calories are in a 3-inch slice?​

Answers

Answer:

A 3-inch slice of the food item contains 255 calories.

Step-by-step explanation:

Set calories per inch slice as variable x.

2x = 170

x = 85 cal

Since each inch slice of the food item contains 85 calories, a 3-inch slice would contain:

3x = 3(85) = 255 cal

what is 7 8/9 written as a decimal

Answers

The number 7 8/9 as a decimal is 7.89

answer easy question quick ​

Answers

Answer:

Step-by-step explanation:

a) 9.80- 98/10

b) 7.3- 73/10

a) 7/100- 0.07

b) 82/10- 8.2

Hope this helps

Fraction:

a) 98/100

b) 73/10

Decimal:

a) 0.07

b) 8.2

The graph of which function(s) will contain the point (4, 12)?

y = x + 8
y = 3x
y = 2x
y = x + 6

(one or more than one)

Answers

Answer:

y=3x

Step-by-step explanation:

I need help im struggling plz help ​

Answers

Answer:

I believe the circumference is 37.699

HOPE I HELPED!

PLEASE GIVE BRAINLIEST!

Step-by-step explanation:

Answer:

37.68 cm

Step-by-step explanation:

The photo shows the diameter as 12cm

The formula for the circumference of a circle is [tex]2\pi r[/tex]

If the diameter is 12, the radius is 6

[tex]2 \pi 6[/tex] = 2 x 3.14 x 6 = 37.68

what is the answer to
-6x+4(-2+8y)- 2y+ 4

Answers

Answer:

− 6 + 3 0 − 4

Answer:

do you mean simplify the expression?

-6x+4(-2+8y)- 2y+ 4

-6x - 8 + 32y - 2y + 4

-6x + 30y + 4 - 8

-6x + 30y - 4


For this data set, the best measure of center is the
, and its value is

Answers

Answer:

median, 60

Step-by-step explanation:

Answer:

it is 60 my friend.

Step-by-step explanation:

1/3 of your birthday cake is leftover from your party. If you eat 1/4 of the leftover cake, what fraction of the original birthday cake is left

Answers

Answer:

a twelth= 1/12

Step-by-step explanation:

Explain how you can tell whether the sum of two integers is positive or negative, before adding them.

Answers

Answer:

The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Answer:

Step-by-step explanation:

The sum will have the same sign as the integer with the greater magnitude.

Example:  the sum of -11 and 5 is -6, where the 6 takes the sign of -11 (which has a greater magnitude than does 5).

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