Solve the problem.
-A radio transmission tower is 140 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of $25 ^ { \circ }$ with the ground? Give your answer to the nearest tenth of a foot.
A) $312.3$ feet
B) $331.3$ feet
C) $145.6$ feet
D) $154.5$ feet

Question

Quizplus · Accepted Answer

The height from the ground to the point where the wire is attached is $140 - 8 = 132$ feet. Using the sine function, $\sin(25^\circ) = \frac{132}{L}$, where $L$ is the length of the wire. Solving for $L$, $L = \frac{132}{\sin(25^\circ)} \approx 312.3$ feet.

Solve the Problem 25∘25 ^ { \circ }25∘ With the Ground? Give Your Answer to the Nearest Tenth

Solve the Problem $25 ^ { \circ }$ With the Ground? Give Your Answer to the Nearest Tenth