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

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

Answer 2

Answer:

4.8 m is correct/