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Railways PYQCBT 1 2020

RRB NTPC · Question 68

From the top of a cliff 25 m high, the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower. Find the height of the tower.

  1. 60 m

  2. 30 m

  3. 50 m

  4. 40 m

Show answer & explanation

Answer: (C) 50 m

Explanation

Let the horizontal distance be d and the angle θ. Depression to the foot: tan θ = 25/d. Elevation to the top: tan θ = (h − 25)/d. So h − 25 = 25 and h = 50 m.