SSC CGL 2023 PYQ — Question 73

The correct answer is option 4 i.e. $\frac{7}{25}$.

7cotP = 24

So

⇒ cotP = 24/7​

Since cot⁡P = adjacent/opposite

Adjacent side = 24

Opposite side = 7

Use the Pythagorean theorem

h² = adjacent² + opposite²

⇒ h = $\sqrt{24^2 + 7^2} = \sqrt{576 + 49 } = \sqrt{625} = 25$

sinP = opposite​/hypotenuse = 7/25