From a point on flat ground 40 meters from the base of a vertical tower, the angle of elevation to the top is 30 degrees. What is the height of the tower?
Answer and explanation
Correct answer: C. 40 sqrt(3) / 3 meters
- Step 1: tan(30 deg) = height / 40. Step 2. height = 40 tan(30 deg) = 40 (sqrt(3)/3) = 40 sqrt(3) / 3 meters. Answer: 40 sqrt(3) / 3 meters. Why not the others: 40 sqrt(3) multiplies by tan(60 deg).
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