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. Ho

Question

2 years ago

9

w high up the pole is the wire
attached? Write your answer in simplest form

1 answer:

marin [14] · Answer 1 · 2023-02-22T05:45:07+03:00

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.

<h3>What is the value of the sin ratio?</h3>

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

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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