SOLUTION: A boat drops an anchor to the bottom of a lake. The anchor rope makes a 15 degree angle with the boat. The anchor rope is 24 feet long. How deep is the lake to the nearest foot

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Question 876721:
A boat drops an anchor to the bottom of a lake. The anchor rope makes a 15 degree angle with the boat. The anchor rope is 24 feet long. How deep is the lake to the nearest foot?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

A boat drops an anchor to the bottom of a lake. The anchor rope makes a 15 degree angle with the boat. The anchor rope is 24 feet long. How deep is the lake to the nearest foot?
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If by "angle with the boat" you mean from the vertical,
d = 24*cos(15) feet
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If by "angle with the boat" you mean 15 degs with the surface,
d = 24*sin(15) feet

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