A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60º angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form.

1 Answer
Mar 16, 2018

The wire attached to the pole at #18sqrt3# ft high.

Explanation:

This is a right triangle formed of which hypotenuse is #h=36# ft.

Angle is #theta=60^0#. Let #P# be the height of pole.

then , # sin 60= P/H or sqrt3/2=P/36 :. P= (36 sqrt(3))/2#

or #P= 18sqrt3# ft.

The wire attached to the pole at #18sqrt3# ft high. [Ans]