Solve. If necessary, round to the nearest tenth.
-If a flagpole 15 feet tall casts a shadow that is 20 feet long, find the length of the shadow cast by an antenna which is 24 feet tall.
A)29 ft
B)32 ft
C)18 ft
D)12.5 ft

Question

Quizplus · Accepted Answer

We can set up a proportion to solve for the length of the antenna's shadow.

15/20 = 24/x

Cross-multiplying, we get:

15x = 480

Solving for x, we get:

x = 32

Therefore, the length of the shadow cast by the antenna is 32 feet. Rounded to the nearest tenth, this is still 32 feet, so the answer is B). We can set up a proportion to solve for the length of the shadow:
15/20 = 24/x
Cross-multiplying, we get:
15x = 480
Dividing both sides by 15, we get:
x = 32
So the length of the shadow cast by the antenna is 32 feet. Rounded to the nearest tenth, the answer is still 32 feet. Therefore, the best choice is (B).

Solve. If Necessary, Round to the Nearest Tenth