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 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
