Question

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

Answer 1

4.8 m is correct/

Answer 2

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:
Cosα=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