SSC CPO 2019 PYQ — Question 107

SSC CPO Tier I - 11th December 2019 - Shift 1 • Quantitative Aptitude • Q107

A kite is flying at a height of 123 m. The thread attached to this assumed to be stretched straight and makes an angle of 60º with the level ground. The length of the string is (nearest to a whole number):

Show answer & explanation

Correct answer: C

Explanation

Correct Answer is option 3 i.e. 142 m

Understanding

Given:

Vertical height of the kite from ground = 123 m

Angle made by thread from the level ground = 60°

Application

In the figure:

Sin60 = AB/AC = 123/AC

√3/2 = 123/AC

AC = 246/√3 = 142.03 or 142 m