Question

A surveyor is standing 75 feet from the base of a building. The angle of elevation to the top of the building is 60°. Approximately how tall is the building? Round the answer tot he nearest tenth.

Answer 1

Using the principle of Pythagoras, the height of the building is approximately 129.9 feets.

Using SOHCAHTOA :

• Tanθ = opposite / Adjacent

Tan(60) = height / 75

1.7320508 = height / 75

Height = 1.7320508 × 75

Height = 129.90 feets.

Hence, the height of the building is 129.9 feets.

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