SOLUTION: An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is taken, the angle of elevation of the sun is 43∘

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Question 960942: An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is taken, the angle of elevation of the sun is 43∘. By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 71 feet long.
How tall is the bulding? (Round your answer to two decimal places.)

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.
When the photograph is taken, the angle of elevation of the sun is 43∘.
By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 71 feet long.
:
We can use the tangent of 43 degrees to find the height (h) of the building
tan(43) =
h = 66.2 ft high

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