SSC CGL 2023 PYQ — Question 59

The correct answer is option 1 i.e. $\frac{4}{3}$.

$\sin A = \frac{3}{5}$ = p/b

⇒ H² = p² + b²

⇒ 25 = 9 + b²

⇒ b = 4

A + B = 90°

⇒ A = 90° - B

tan A = p/b = 3/4

⇒ tan (90° - B) = 3/4

⇒ cot B = 3/4                      {cotx = 1/tanx}

So, tan B = 4/3