Answer:
171 foot
Step-by-step explanation:
We are given that
Height of tower=135 ft
AC=55 ft
Let x be the length of shortest length of wire.
The angle of inclination of mountain with horizontal =
The angle between sides AB and BC=
Exterior angle is equal to sum interior angles of a triangle on the opposite sides .
We have to find the value of x.
We know that law of cosine
Substitute the values in the given formula we get
Hence, the length of wire needed=171 foot