Question

A wire attached to the top of a building makes a 15° angle with the ground. If the building is 25 feet high, how

long is the wire?

Answer 1

96.6feet

Explanation:

,

From the attachment, we can see that a triangle is formed.

From trigonometry,

Sin(X)= opposite/hypothesis

Where Opposite sides=25feet

Hypotenuse sides= X feet

Sin(15)= 25/X

Cross multiply

Sin(15)= 0.2588

0.2588=25/X

X= 25/0.2588

X=96.6feet

Hence, the wire is 96.6 feet high

CHECK THE ATTACHMENT FOR THE FIQURE.