SSC CPO 2019 PYQ — Question 122

SSC CPO Tier I - 12th March 2019 - Shift 1 • Quantitative Aptitude • Q122

An observer who is 1.6 m tall is 45 m away from a pole. The angle of elevation of the top of the pole from his eyes is 30º. The height (in m) of the pole is closest to:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 27.6

Let height of observer = AB

√3 unit = 45 m

⇒ 1 unit = 45/√3 = 25.98 m

So,

ED = 25.98 m

So,

Height of tower = ED + CD

= 25.98 + 1.6

= 27.58 m