An aerial photograph from a U-2 spy plane is taken of a building suspected of ho

Question

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 0.95 radians. By comparing the shadow cast by the building in question to the shadows of other objects known in size, scientists determine the shadow of the building in question is 116 feet long. How tall is the building? feet 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 0.95 radians. By comparing the shadow cast by the building in question to the shadows of other objects known in size, scientists determine the shadow of the building in question is 116 feet long. How tall is the building? feet

Explanation / Answer

Apply tangent formula for right angled triangle:

tan(0.95) = Height of building/length of shadow

tan(0.95) = x/116

x = 116*tan(0.95) = 162.21 feet

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