Question

The side of a hill makes a 12° with the horizontal. A wire is to be run from the top of a 175 foot tower on the top of the hill to a stake 120 ft down the hillside from the base of the tower. What length of wire is needed

Answer 1

231.9ft

Explanation:

We would be solving this problem by using the cosine rule.

The length = (pq)² + (qr)² -2 * pq * qr * cos102⁰

= 120² + 175² - 2*120*175 (-0.2079)

= 14400 + 30625 + 8731.8

= 53756.8

Length² = 53756.8

We take the square root of both sides

Length = √53756.8

Length = 231.89 feet

This is the length of the wire that is needed.

Thank you