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

Amit is standing at a point P is watching the top of a tower, which makes an angle of elevation of 45° with Amit\’s eye. He 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)

4.2 units

(B)

8 units

(C)

10 units

(D)

Data inadequate

Answer: (D)

Explanation:

Let MN be the tower and Amit be standing at P (45° = 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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