SarkariPYQ

SSC CPO 2019 PYQ — Question 125

SSC CPO Tier I - 12th December 2019 - Shift 1 • Quantitative Aptitude • Q125

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An observer who is 1.62 m tall is 45 m away from a pole. The angle of elevation of the top of the pole from his eyes is 30°. 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

Application

Let ED is an observer who is 1.62 m tall is 45 m away from a pole AC as shown in the figure:

Figure for the explanation of question 125

Here, DC = EB = 45m

ED = BC = 1.62 m

Let AB = x meter

In right-angled triangle ABE

Tan 30° = AB/EB = X/45

X = 45/√3 = 45√3/3 = 15√3 metres

Height (in m) of the pole = 15√3 + 1.62  = 15 × 1.73 + 1.62 = 27.6 metres