An electrician uses 7 m of wire to join a junction box at the top of a utility pole to a junction box at ground level so that the angle of depression is 47 degrees. To the nearest tenth of a meter, how far is the ground-level junction box from the base of the utility pole?

10.3 m

6.5 m

5.1 m

4.8 m

To solve this problem you must apply the proccedure shown below:

1 - You have that the length of the wire is 7 meters and the angle of depression is 47 degrees. Therefore, you have:

Cos α=adjacent/hypotenuse

α=47°

adjacent=x

hypotenuse=7

2 - When you substitute the values above, you obtain:

Cod (47°) = x/7

3-Solve for x as following:

x=7[Cos (47°) ]

x=4.8

The answer is: 4.8 meters