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Nadusha1986 [10]
2 years ago
9

A boat is heading towards a lighthouse, whose beacon-light is 113 feet above the

Mathematics
1 answer:
Delicious77 [7]2 years ago
8 0

We conclude that the horizontal distance between the ship and the lighthouse is 920.3 feet.

<h3>How to find the ship's horizontal distance from the ship to the lighthouse?</h3>

We can use trigonometry to solve this. We know that the height of the lighthouse is 113 ft, and that the angle of elevation when seen from the ship is 7°.

Then we have a right triangle where we know that one angle measures 7° and the opposite cathetus to this angle measures 113 feet, and we want to find the adjacent cathetus, then we can use the tangent relation.

tan(7°) = 113ft/x

Where x is the opposite cathetus, which is the horizontal distance we want to find.

x = 113ft/tan(7°) = 920.3ft

We conclude that the horizontal distance between the ship and the lighthouse is 920.3 feet.

If you want to learn more about right triangles.

brainly.com/question/2217700

#SPJ1

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