Question

at 85 foot wire is tired from the top of a utility pole to the top of the building as shown below. find d, the distance from the pole to the building round to the nearest tenth

Answer 1

Trigonometric Ratios

We have completed the figure with some additional information to better show the procedure of solving the problem

A right triangle is formed with the wire, the distance 'd', and the wall of the building.

We can use the trigonometric ratios in right triangles. Since 'd' is opposite to the angle of 68° and the wire is the hypotenuse of the triangle, we can use the sine ratio as follows:

`\sin 68^o=(d)/(85)`

Solving for d:

d = 85 sin 68°

Using a calculator, we get:

d = 78.1 ft

The distance from the pole to the building is 78.1 ft