SSC CGL 2022 PYQ — Question 71

SSC CGL - 05 Dec 2022 - Shift 1 • Quantitative Aptitude • Q71

If sin θ = 8/17, then find the value of tanθ.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 8/15.

Calculations:

sin θ = 8/17, where Perpendicular = 8 units and hypotenuse = 17 units

Using pythagoras theorem,

⇒ 172 - 82 = Base2

⇒ Base2 = 225

⇒ Base = 15 units

We know tan θ = Perpendicular/base

⇒ 8/15