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A plane is flying in a straight line parallel to the ground above NYC. It flies over Time Square and a short time later over the Statue of Liberty, approximately 8 miles away from Time Square. A short time after it passes over the Statue of Liberty, the angle of elevation from Time Square is $45^{ \circ}$ and the angle of elevation from the statue of liberty $75^{ \circ }$.

What is the altitude of the plane? Round to one decimal place.

A

10.9

B

8

C

1.7

D

11.7

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