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SSC CGL 2024 PYQ — Question 51

SSC CGL - 11 Sep 2024 Shift 2 • Quantitative Aptitude • Q51

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In a triangle △ABC, the ∠ABC = 90°. If sin (A) = 121\over2, then cos(C) is equal to:

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 121\over2.

⇒ sin (A) = 121\over2 = P/H = BC/AC

By Pythagoras theorem,

⇒ AC2 = AB2 + BC2

here, H  = Hypotaneous, B = Base, P = Perpendicular

⇒ 22 = AB2 + 12

⇒ AB2 = 4 - 1

⇒ AB2 = 3

⇒ AB = √3

So,

⇒ cos(C) = B/H = BC/AC = 121\over2