SSC CGL 2016 PYQ — Question 9

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q9

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2

tan 60 = 3/BC

BC = 3/√3 = √3

tan 30 = 3/AC

AC = 3√3

AB = AC - BC = 3√3 - √3 = 2√3

Speed  of airplane = 23×1000/15 = 230.93 m/s