SSC CGL 2016 PYQ — Question 94

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q94

A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 minutes for the angle of depression to change from 30º to 60º. How soon the boat reach the sea-shore ?

Show answer & explanation

Correct answer: A

Explanation

The correct option is 1.

height of tower = h

tan 30° = 

tan 60° = 

 = x

h√3 = x + y

h√3 = + y

= y

y = 2x

time taken to travel y distance = 10mins

time taken to travel x distance ( half of y distance) = 5 mins