Answer:
90.6 feet
Step-by-step explanation:
The three segments namely,
constitute a right triangle
We can apply the law of sines to determine the length of the cable
The law of sines says
the ratio of the length of a side of a triangle to the sine of the angle opposite is the same for all sides and angles
Hence
Length of Pole/sin 62 = Length of cable /sin 90
Given
80/0.88294759 = Length of cable/1 = Length of cable
Length of cable = 80/0.88294759 = 90.6 feet