Question

A support cable for a 56-foot tower forms a 67° angle with the ground.

What is the length of the cable to the nearest foot?
56 ft.
61 ft.
60 ft.
75 ft.

Answer 1

So visualise a tower of 56ft and a cable with ground with angle of 67degree.

to find the length of the cable, you need to use trigonometry. So you have 56ft as the opp of 67degree and cable as hypotenuse of 67degree.

thus Sin(67)=OPP/HYP
=56/HYP
HYP=56/Sin(67)
=60.83618113
=61 ( nearest foot )

Therefore Ans: 61ft

Answer 2

The length to the nearest foot would be 60 ft.