Question

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire

attached? Write your answer in simplest form

Answer 1

The wire is attached to the pole at 18 root3 ft high.

We have given that,

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.

This is a right triangle formed of which hypotenuse is

h=36ft.

Angle is θ=60degree

Let P be the height of pole.

What is the value of the sin ratio?

$\frac{Opposite\ side}{hypotenous}$

then, sin60=P/H or root3/2=P/36

P=36√3/2

or

P=18√3ft.

The wire attached to the pole at P=18√3ft.

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