A straight vertical pole was broken during a cyclone in such a way that its top touched the ground at a distance of 6 √(3) m from the bottom of the pole and made an angle of 30º with the horizontal. What was the height (in cm) of the pole?

A straight vertical pole was broken during a cyclone in…

Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the
alternatives given. Select the most appropriate option for each blank.
Graduation Day was at hand. Primary school graduation (1) ______ in those days followed a
prescribed order-conventional, courteous and (2) ______. First the school principal made a
long speech (3) ______ encouragement and blessing for the future of the graduates. (4) ______
one of the representatives of the graduating class (5) ______ with a vote of thanks.

A straight vertical pole was broken during a cyclone in such a way that its top touched the ground at a distance of 6 $\sqrt{3}$ m from the bottom of the pole and made an angle of 30º with the horizontal. What was the height (in cm) of the pole?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 18

AD = AC (The broken top)

In △ABC, AB/BC = tan 30°

⇒ AB / $6√ 3$ = 1 / √3

⇒ AB = 6 m

BC / AC = cos 30°

⇒ $6√ 3$ / AC = √3 / 2

⇒ AC = 12 m

SSC CHSL 2021 PYQ — Question 51