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SSC CPO 2023 PYQ — Question 141

SSC CPO - 3 Oct 2023 - Shift 1 • Quantitative Aptitude • Q141

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If tan A = 43,0≤A≤90°,\frac{4}{3},0 ≤ A ≤ 90°,then find the value of sin A.

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Correct answer: D

Explanation

The correct answer is Option 4 i.e.  45\frac 4 5.

tan A = 434\over3

We know that,

tan A = P/B = 4/3

By Pythagoras theorem

⇒ H2 = B2 + P2 

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

⇒ H2 = 32 +  42

⇒ H2 = 9 + 16

⇒ H2 = 25

⇒ H = 5

Value of Sin A = P/H = 4/5