If an observer is 200ft from a building and the angle of elevation to the top of a building is 60 degrees, what is the height of the building?

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If the angle of inclination is 60 degrees and the building forms a right

triangle with the ground, the 3rd angle of the triangle formed is 30 degrees.

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The side opposite the 30 degree angle is (1/2) the hypotenuse.

That side opposite is 200 ft so the hypotenuse is 400 ft.

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Use Pythagoras to find the 3rd side of the right triangle which is the building.

400^2 = 200^2 + x^2

x^2 = 160000 - 40000 = 120000

x = 346.41 ft