SSC CGL 2018 PYQ — Question 44

SSC CGL Tier II Quant - 19/02/2018 • Quantitative Aptitude • Q44

The height of a tower is 300 meters. When its top is seen from top of another tower, then the angle of elevation is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 92.15

In △AEC

tan60o = AE/120

AE = 120√3 = 207.85 m

Height of second tower, CD = 300 - 207.85 = 92.15 m