Question

A guide wire is attached to a telephone pole 8.0 meters above the

ground and it makes an angle of 47° with the ground. How long is
the wire? (round to the nearest tenth)
Length = [ANSWER1] meters

Answer 1

10.9 meters

Explanation:

This situation forms a right triangle, where the telephone pole is a leg of the triangle and the wire is the hypotenuse.

The angle with the ground is the angle of elevation.

Use the trig ratio sin (opposite / hypotenuse), and solve for x, the length of the wire:

sin 47 =
`(8)/(x)`

(sin 47)(x) = 8

x = 10.9

So, rounded to the nearest tenth, the wire is 10.9 meters long