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Kobotan [32]
3 years ago
10

How tall is a building that casts a 71​-ft shadow when the angle of elevation of the sun is 29 degrees​?

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0
We can use trigonometry to solve the problem. First draw a picture of the situation to understand what is going on (See the attached photo).

Next, we can use the tangent  function to solve for the height of the building:

tan(29^{\circ})= \frac{h}{71}

Next, rearrange the problem to solve for h:

h = 71tan(29^{\circ})

h = 39.356 ft

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olga2289 [7]

Answer:

1)x=2. 2)x=5/2

Step-by-step explanation:

Steps in pic below

4 0
3 years ago
Can someone please help me with this problem!
Anna71 [15]

Answer:

11 yards

Step-by-step explanation:

The volume of a cone formula is:

V=\frac{1}{3}\pi r^2 h

Where V is the volume,

r is the radius (half of diameter)

h is the height

Given,

h = 15

V = 475.17

We find the radius (r) first by substituting given values:

V=\frac{1}{3}\pi r^2 h\\475.17=\frac{1}{3}\pi r^2 (15)\\475.17=5\pi r^2\\r^2=30.25\\r=5.5

The radius (r) is 5.5 yards

We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:

Diameter = 5.5 * 2 = 11 yards

8 0
3 years ago
Alice Hall, who loves to cook, makes an apple cake (serves six) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1
grandymaker [24]
2 1/2 pounds of apple makes serve 6
(2 1/2 x 24)/6 = 10 pounds of apple will make serve 24.

Therefore, she will use 10 pounds of apples.
8 0
3 years ago
Evaluate the function<br> f(x)= 7.45x + 33.7 at x= -4.3
slavikrds [6]
First, you have to substitute for x, which would make the problem f(x)=7.45(-4.3)+33.7
Now, you just have to use the PEMDAS method (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
f(x)= -32.035+33.7
f(x)=1.665
6 0
4 years ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t
makvit [3.9K]

Answer:

The solve of that problem is that Hernry invested $18.000 in stocks and $6.000 in bonds.

Step-by-step explanation:

First, to explain you have to do a multiplication about 6 on three. Like three times more than bonds, the result is 18. Then you have to do a  subtraction on $24.000 less $18.000, and the result is $6.000, so six is the amount on bonds. And is three times less than stocks, like the questions ask.

4 0
3 years ago
Read 3 more answers
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