Question

A 12-foot wire supports a tree creating a 48 degreee angle. What is the closest distance up the tree that the wire reaches?

Answer 1

The closest distance up the tree where the wire reaches is 17.93 foot.

Explanation:

Given-

Length of the wire, L = 12 foot

angle, Ф= 48°

Distance upto which the wire reaches the tree, x = ?

We know,

cos Ф = base/ hypotenuse

cos 48° = 12/ x

0.669 = 12/x

x = 17.93 foot

Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.