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A vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation of the sun to the nearest degree?

A vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation of the sun to the nearest degree?
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a vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation of the sun to the nearest degree?

User Daniel Mizerski
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1 Answer

4 votes
Draw a right triangle.


tan(theta) = (opposite)/(adjacent)


tan(theta) = (10)/(14)

Arctangent (tan^-1) can be used to find theta.


tan^(-1)((10)/(14))=theta


theta\ is\ approx\ \boxed{36\ degrees}
a vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation-example-1
User Sammy Larbi
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