QA – Placement Quizzes | Trigonometry & Height and Distances | Question 8

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of elevation becomes 60°. What is the distance between the base of the tower and the point P?
(A) 4(3)^0.5 units
(B) 8 units
(C) 12 units
(D) Data inadequate


Answer: (D)

Explanation: Let MN be the tower and man be standing at P (30° = angle MPN) and Q (60° = angle MQN). We are only given two angles and no sides of the triangles. Therefore, the data is inadequate.

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