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30. A tree that is 50 feet tall casts a shadow that is 60 feet long.Find the angle of elevation, to the nearest degree, of thesun.

30. A tree that is 50 feet tall casts a shadow that is 60 feet long.Find the angle-example-1

1 Answer

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A tree that is 50 feet tall casts a shadow that is 60 feet long.

Find the angle of elevation, to the nearest degree, of the

sun.

Let

x ------> the angle of elevation

we know that

tan(x)=50/60 ------> opposite side divided by adjacent side

using a calculator

x=tan^-1(50/60)=40 degrees

therefore

the answer is

40 degrees

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