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3 years ago

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Mathematics

1 answer:

RoseWind [281]3 years ago

7 0

Answer:

The angle of depression from the lighthouse is the angle of elevation from the boat. The line of sight from the top of the lighthouse, when depressed, becomes an alternate interior angle of two parallel lines, the line of sight from the top and the boat's movement.

Step-by-step explanation:

From the boat's standpoint, which is what we want anyway, there is a right triangle, with the distance from the lighthouse the adjacent side, the opposite is 200,' and the boat the point desired. The tangent is needed.

tangent 18.33 degrees (33 minutes is 33/60 of a degree)=200/x

x=200/tan 18.33=592.58 feet

nearer, the angle of elevation increases as the adjacent side gets smaller relative to the opposite side.

tangent 51.65 degrees (33 minutes is 33/60 of a degree)=200/x

x=200/tan 51.65=158.23 feet

That difference is 434.35 feet

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Find the surface area of a sphere with a volume of 36π in3.

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First use known volume to solve for radius:
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Then use the radius to get the surface area:
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