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

Answer is 4.8m

just took the test

Explanation:

Answer 2

To solve the question we use the formula:
sin θ= opposite /hypotenuse
θ=angle of depression= angle of elevation
opposite=distance from box to the base=x
hypotenuse=length of the wire
thus plugging our values we shall obtain
sin 47=x/7
simplifying
x=7sin 47
x=5.1195~5.1 m

Answer: 5.1 m