Answer:
660 ft (rounded to the nearest foot)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between the sides of a right triangle and one of the acute angles is ...
Tan = Opposite/Adjacent
Here, we have the angle between the tower and the cable being (90°-23°) = 67°, so the distance from one cable to the tower (d) is ...
tan(67°) = d/(140 ft)
Then the distance between two cable anchor points on opposite sides of the tower will be ...
2d = 2·tan(67°)·(140 ft) = 659.64 ft
The ground distance between cables is about 660 ft.
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We have assumed that the wording "two cables on each side" means "two cables, one on each side". While the angle of depression is unusually small, we have assumed it to be as given.
