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From a point A on the ground, the angle of elevation of the top of a tower is 60°. From B, 10 m vertically above A, it is 45°. Find the height of the tower.

Competition practiceTrigonometry
  • A5(3 + √3) m
  • B5(√3 + 1) m
  • C10(√3 + 1) m
  • D10√3 m

Step-by-Step Solution

Let the distance be d. h = d√3 and h − 10 = d. So d(√3 − 1) = 10, d = 5(√3 + 1) and h = 5√3(√3 + 1) = 5(3 + √3) m ≈ 23.7 m.
Answer: A) 5(3 + √3) m

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