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A periscope is 5 feet above the surface of the ocean. Through it can be seen a ship that rises to 50 feet above the water. To the nearest mile, the farthest away that the ship could be is a0 miles.

Verified Answer :

firehunter0001

The farthest distance on the planet that the eye can see is given by the formula \(d=\sqrt{8,000h_1} + \sqrt{8,000h_2}\)

\(h_1\)= your first height and \(h_2\)=your second height

Since \(h_1=5\) or the height of the periscope over the water and \(h_2=50\) for the height of the ship the answer is 832.45553203368 feet, but because the question asks to the nearest mile the answer would be \(11^a^0\)

If you get it wrong just tell me and I will rework my math again :-)

To the nearest mile, the farthest away that the ship could be calculated to be given as; 832 ft

How to calculate distance between two places?

We are given;

Height of the periscope over the water; h₁ = 5 ft

Height of the ship; h₂ = 50 ft

Now, the formula for the farthest distance on the planet that the eye can see is given by;

d = √(8000h₁) + √(8000h₂)

Thus;

d = √(8000 5) + √(8000 50)

d = √(40000) + √(400000)

d = 832.455 ft

To the nearest mile gives d = 832 ft

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