SSC CHSL 2021 PYQ — Question 53

The correct answer is option 3 i.e. 25/12.

Here,

sec A = 13/5 = H/B

⇒ AC/AB = 13/5

So, let AC = 13k and AB = 5k, considering k as their common ratio.

So, BC = ${ \sqrt{(13k)^2 - (5k)^2} } = 12k$

Now,

sin A = AB/AC = 12/13

cos C = BC/AC = 12/13

So,

$\frac{1+ \sin A}{\cos B}$ = (1 + 12/13)/(12/13) = 25/12