Please help me with this problem. The directions from my professor are as follow

Question

Please help me with this problem. The directions from my professor are as follows: Using an experience or example of when you were close to the beach, or on a cliff, in a house, in a hotel room, etc., estimate how high above sea level you were and solve to see how far out you would be able to see a boat.

The following is my problem: I am climbing duns river fall in Jamaica, which is 144 feet. There is a pool, directly at the bottom of the waterfall. I want to know how far the pool is from the top of the waterfall.
Use the formula: d = sqrt[3h/2], where d is the distance in miles and h is the height in feet.

Explanation / Answer

The following is my problem: I am climbing duns river fall in Jamaica, which is 144 feet. There is a pool, directly at the bottom of the waterfall. I want to know how far the pool is from the top of the waterfall.
Use the formula: d = sqrt[3h/2], where d is the distance in miles and h is the height in feet.
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d = sqrt[3*144/2] = sqrt[216] = 14.7 miles
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It doesn't sound right to me but that's what your formula says.
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I think what that formula tells you is distance at which you can
see an object when you are 144 ft above the ground. It does not
fit the scenario you described.

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