NextMockSearch exams, e.g. SSC CGL, UPPSC, Lekhpal
Railways PYQCBT 1 2016

RRB NTPC · Question 33

Two temples are facing each other on each side of a river. The angle of depression of the top and bottom of the second 36 m height from the top of the first temple is 30° and 60° respectively. The height of the first temple is: A. 40 m B. 60 m C. 45 m D. 54 m

  1. B

  2. C

  3. A

  4. D

Show answer & explanation

Answer: (D) D

Explanation

Let the first temple be h m high and the river d m wide. Depression to the bottom of the second temple is 60°: d = h/√3. Depression to its top is 30°: h − 36 = d/√3 = h/3. So 2h/3 = 36 and h = 54 m.