In order to keep a boat from drifting away, the boat is tied to a pier with a 60-foot rope. When the boat drifts as far from the pier as the rope will allow, the rope forms a 15° angle relative to the horizontal water line.

To the nearest foot, find the maximum horizontal distance, d, that the tied-up boat can drift from the pier.

Question

Mathematics

Maddox Hensley

9 July, 17:48

In order to keep a boat from drifting away, the boat is tied to a pier with a 60-foot rope. When the boat drifts as far from the pier as the rope will allow, the rope forms a 15° angle relative to the horizontal water line.

To the nearest foot, find the maximum horizontal distance, d, that the tied-up boat can drift from the pier.

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Answers (1)

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Conner Conrad · Answer 1

A right triangle will be formed upon sketching the given scenario with the rope as the hypotenuse. So, using the cosine function:

cos 15 = d/60

d = 60 cos 15

d = 57.96 ft

Therefore, the maximum horizontal distance that the tied-up boat can drift from the pier is 58 ft.