SSC CGL 2020 PYQ — Question 54

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q54

In the figure, what is the value of cotθ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e 15/8.

Understanding/Application

cotθ = cosθ/sinθ 

cosθ = b/h

sinθ = p/h

p = 8 cm

h = 17 cm

b = h2−p2{\sqrt{h^2-p^2} }

b = 172−82{\sqrt{17^2-8^2} }

b = 225{ \sqrt{225} }

b = 15 cm

cosθ = 15/17

sinθ = 8/17

cotθ = (15/17)/(8/17) 

cotθ = 15/8