SSC CPO 2019 PYQ — Question 146

SSC CPO Tier I - 12th December 2019 - Shift 2 • Quantitative Aptitude • Q146

If √2 Sin(60° - α) = 1, 0° < α < 90°, then α is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 15°

Understanding Application

Given

√2 Sin(60° - α) = 1

⇒ Sin(60° - α) = 1/√2

We know:

Sin45° = 1/√2

So,

Sin(60° - α) = Sin45°

Hence,

α = 15°