SSC CGL 2023 PYQ — Question 63

SSC CGL - 20 July 2023 - Shift 4 • Quantitative Aptitude • Q63

In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm. If one angle is θ\theta, then tan θ\theta is equal to:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 43\frac{4}{3}.

Given that

In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm

As we know In any right-angle triangle 

Height2 =  hypotenuse2 - base2

Calculation

⇒ Height2 = 52 - 32 = 25 - 9 = 16

⇒ Height = 4 cm

Hence, the value of  tan θ\theta = Height/Base = 4/3