SSC CGL 2023 PYQ — Question 75

The correct answer is option 2 i.e.  $\frac{8}{\sqrt{113}}$.

Given that

8cot A = 7

⇒ cot A = $\frac{7}{8}$

⇒ $\frac{base}{perpendicular}$ = $\frac{7}{8}$

Hence, hypotenuse² = 7² + 8² 

⇒ Hypotenuse = √113

Hence, sin A = $\frac{perpendicular }{hypotenuse}$ = $\frac{8}{\sqrt{113}}$