SSC CGL 2018 PYQ — Question 48

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q48

Mohit is standing at some distance from a 60 meters tall building. Mohit is 1.8 meters tall. When Mohit walks towards the building, then the angle of elevation from his head becomes 60° from 45°. How much distance (in metres) Mohit covered towards the building?

Show answer & explanation

Correct answer: D

Explanation

  The correct answer is option 4 i.e. 19.4(3 − √3)

Application

 

Suppose ‘x’ is the distance covered by Mohit towards the building.

So,

Tan45° = 58.2/(x + y)

⇒ (x + y) = 58.2

And

Tan60° = 58.2/y

⇒ √3 = 58.2/y

⇒ y = 19.4√3

Hence,

x = 58.2 – 19.4√3 = 19.4(3 − √3)