A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)

Answers

Answer 1

9514 1404 393

Answer:

  80.38°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...

  tan(α) = 236/40

  α = arctan(236/40) ≈ 80.38°


Related Questions

if $5,250 is invested at 4.5% compounded monthly, what is the amount accumulated at the end of 10 years?

Answers

Answer:

In 10 years, you will have $793,789.89

Step-by-step explanation:

Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89

You roll a 6-sided die.

What is P(factor of 27)?

A.1/9
B.1/5
C.5/9
D.1/3

Answers

Answer:

D

Step-by-step explanation:

because 1 is a factor of every number and also three is a factor of 27

PLS ANSWER QUICK, HELP

Answers

Answer:

1014 in

Step-by-step explanation:

(13 x 13) x 6 = 1014 in^3

Answer:

The answer should be A (676)

Step-by-step explanation:


Enter the correct answer in the box.
Simplify the expression x^5•x^7

Answers

Answer:

x^12

Step-by-step explanation:

when multiplying with exponents, keep base and add exponents

when dividing with exponents, keep base and subtract exponents

PLS HELP I HAVE BEEN ASKING FOR 4 DAYS IM JUST GETTING BAD ANSWERS I WILL GIVE BRAINLIEST. IM ABOUT TO FAIL :((((((((((((((

Answers

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

Which color check marks correctly match up the scenarios with their unit rates? *

Green
Red
Blue

Answers

Red is it your welcome also I’m not hay sure but It shows

Sales volume last weekend for four samples, each consisting of five car dealerships, were as follows: Data Point 1 2 3 4 5 Sample 1 21 10 19 35 23 Sample 2 34 44 29 15 30 Sample 3 38 22 29 31 15 Sample 4 47 39 20 16 36 What is the mean of the distribution of sample means

Answers

Answer:

Mean of sample means = 22.12

Step-by-step explanation:

Data points     1     2     3     4     5        Sample mean

Sample 1         21    10   19    35   23         21.6

Sample 2        34   44   29   15   30         30.4

Sample 3        38   22   29   31   15          27

Sample 4         47   39    20  16   36         31.6

[tex]Mean of means = \frac{Sum of sample means}{No. of samples}[/tex]

                         [tex]=\frac{21.6 + 30.4 + 27 + 31.6 }{5} \\= 22.12[/tex]

Answer:

22.12

Step-by-step explanation:

Hope this helps

[(p^q)^r] is equivalent to [p^ (q^r)]​

Answers

Answer:

True

Step-by-step explanation:

Just write down the answer.

Which triangles are similar to triangle ABC ?

Answers

Answer:

both of em

Step-by-step explanation:

7m=56. explanation please​

Answers

Answer:

m=8

Step-by-step explanation:

Divide each term in

7

m

=

56

7

m

=

56

by

7

7

.

7

m

7

=

56

7

7

m

7

=

56

7

Cancel the common factor of

7

7

.

Tap for more steps...

m

=

56

7

m

=

56

7

Divide

56

56

by

7

7

.

m

=

8

m

=

8

Step-by-step explanation:

7m=56

you have to have m by itself so to do that divide 7 on both sides.

7m/7=56/7

the 7 gets cancels on the left side so now you have

m=56/7

you divide

you get m=8

HELP PLEASE WILL MARK BRAINLEST

Answers

Answer:

13x+16

Step-by-step explanation:

3x+7+8x+2x+4+5

13x+7+4+5

13x+16

for brainliest!!! please help

Answers

Answer:

42º

Step-by-step explanation:

90-48=42

Answer:

[tex]42^{o}[/tex]

Step-by-step explanation:

The square angle indicates it is a right angle, which is [tex]90^{o}[/tex]

[tex]90^{o}[/tex] - [tex]48^{o}[/tex] = [tex]42^{o}[/tex]

Least common denominator in 1/30 + 1/24

Answers

Answer:

The LCD in 1/30 + 1/24 is 90.

Polygon STUV is reflected over the X axis and then over the Y axis to create WXYZ. Which of the following sides are congruent?

Answers

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

help me!!!!!!!!!!!!!
8/7 ( x - 100/220) + 4 ( x + 8/9) = 38

Answers

X = 53/3762 I’m guessing!

solve for x in the equation

Answers

Answer:

third option

Step-by-step explanation:

subtract 125/4 from each side to get:

x² + 11x -1

use quadratic formula to get:

-11 ± √121 - 4(-1)/2

= -11 ± ([tex]\sqrt{125}[/tex]) / 2

* [tex]\sqrt{125}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

= -11 ± (5[tex]\sqrt{5}[/tex]) / 2

Use the method of elimination to determine whether the given linear system is consistent or inconsistent. If it is consistent, find the solution if it is unique, otherwise describe the infinite solution set in terms of an arbitrary parameter t. (Note that a system of equations is said to be consistent if it has at least one solution)

4x - 2y + 6z = 0
-y-z=0
- y + 3z = 0

Answers

Answer:

Step-by-step explanation:

From the given information;

We will realize that in the 2nd & 3rd equation, the integer "x" is missing.

So, the correct equation should be:

4x - 2 + 6z = 0

x - y - z = 0

2x - y + 3z = 0

By rearrangement; if we switch equation (1) and (2)

x - y - z = 0      ----- (1)

4x - 2 + 6z = 0 ------ (2)

2x - y + 3z = 0  ------ (3)

If we multiply equation (1) and add that to  equation (2);

Then, we have:

x - y - z = 0

2y + 10z = 0

2x - y + 3z = 0

Also, if we multiply equation (1) by -2 and add that to equation (3), we have:

x - y - z = 0

2y + 10z = 0

y + 5z = 0

From above recent equation, if we swap equation (2) and (3);

x - y - z = 0

y + 5z = 0

2y + 10z = 0

Then, multiply equation (2) with -2, followed by adding it to equation(3);

Then:

x - y - z = 0

y + 5z = 0

0 = 0

Now, there exists no equation (3). Thus, let assume z = t to solve for x & y

y + 5z = 0

y = -5t

Similarly;

x - y - z = 0

x = -5t + t

x = -4t

Hence;

x = -4t; y = -5t; &  z = t

What type of triangle is this if lengths of its sides are 37m, 24m, and 5m *​

Answers

Answer:

weird triangle

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

Scalene triangle: If the length of all the sides of triangle have  different measurements then it is scalene triangle

Lily has 3 dog toys that are red. One fifth of all her dog toys are red. How many dog toys does Lily have? Complete the explanation. Please I need help!!!!

Answers

Answer:

she has 15 dog toys

Step-by-step explanation:

mutlipy 3 by five because the top number is one

If arc AB = 107° and arc BC = 122°, find the value of x.

Answers

Answer:

the value of x is acb 133°

Calculate the area of the shape below.

Answers

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

* Question Completion Status:
QUESTION 3
Find the measure of the unknown angle of the triangle.
18
122


Answers

I’m going to assume the numbers are the other angles so..
Answer: 40 degrees

Why? Every triangles interior angles add up to be 180 so
180-122-18= 40

What will the function f(x) = x² look like translated 3
units right and 8 units down?

Answers

Answer:

it will look the same, just shifted.

Step-by-step explanation:

The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.

If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?

Answers

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

$19.65

Step-by-step explanation:

12*3=36

15*.09=1.35

15+1.35=16.35

36-16.35=$19.65

Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00

Answers

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?

Answers

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]

Cross products,

[tex]5x = 120[/tex]

Inverse operations,

[tex]x = 24[/tex]

what is the radius of a sphere whose surface area is 100cm²?

Answers

Answer:

r≈2.82

Step-by-step explanation:

Hope this helps and have a great day!!!

Step-by-step explanation:

that can help you

How can I find the unknown side lengths when given the area or circumference of a figure?

Answers

Answer:

Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.

Step-by-step explanation:

For example,

Find the side length of a square with an area of 49 square centimeters.

Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]

a stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where s(t) = 4.9t^2 + 29.4 and t is in seconds. if a stone is thrown downward at 29.4m/sec from a height of 132.3 m, how long will it take the stone to hit the ground?

Answers

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

[tex]s(t) = -4.9t^2 + 29.4+132.3[/tex]

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

[tex]-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9[/tex]

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.

what is the measure of the missing angle?

Answers

115°
A triangle is 180° so add the two degrees given and subtract that from 180; 180-(75+40)
180-155= 65. then a line is 180 degrees so you subtract 65 from 180 and get 115
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