Question

If 2sin A − 1 = 0 and A is an acute angle, the measure of angle A is ______.

Options

• 30°

• 45°

• 60°

• 90°

Answer 1

If 2sin A − 1 = 0 and A is an acute angle, the measure of angle A is 30°.

Explanation:

Given 2sin A − 1 = 0

2sin A = 1

\[\sin A = \frac{1}{2}\]

Since A is an acute angle and \[\sin 30^\circ = \frac{1}{2}\], the measure of angle A is 30°.