Question

the wire attached to a radio station tower in Westlake hills is placed at 74 degrees angle with the ground. the wire is attached 30 ft from the station . if Ryan wants to try to walk the wire, how long is the wire he wants to walk? (round to the nearest tenth)

Answer 1

given :

The angle between the wire and the ground = 74 degrees

the wire is attached 30 ft from the station

As shown in the given figure, the tower, and the wire, and the length of the ground making the shape of a right angle triangle

So, the length of the wire represents the hypotenuse of the triangle

Let the length = x

so,

$\begin{gathered} \cos 74=\frac{30}{x} \\ \\ x=\frac{30}{\cos 74}=108.84 \end{gathered}$

Rounding to the nearest tenth

so, the answer is: 108.8 ft