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Home > past-papers-math > Question

The angle of depression of a point situated at a distance of 70m from the base of a tower is 60°. The height of the tower is:

0
A) 70√3 m
B) 70√3/3 m
C) 70m
D) 35√3 m

Correct Answer: A) 70√3 m

SMART TRICK: Height & Distance problem. Alternate angles ki wajah se Angle of depression = Angle of elevation = 60°. Base (distance) = 70m hai. Hamein Perpendicular (height 'p') maloom karni hai. Formula: Tan(θ) = Perpendicular / Base. Yani Tan(60°) = p / 70. Tan(60°) ki value √3 hoti hai. Tou p / 70 = √3. Cross multiply karein tou Height p = 70√3 meters. Option (D) 70√3 m bilkul theek hai.

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