Question

If θ is an acute angle and 7 + 4 sin θ = 9, then the value of θ is ______.

Options

• 90°

• 30°

• 45°

• 60°

Answer 1

If θ is an acute angle and 7 + 4 sin θ = 9, then the value of θ is 30°.

Explanation:

Given: 7 + 4 sin θ = 9

4 sin θ = 9 − 7

4 sin θ = 2

sin θ = `2/4 = 1/2`

We know that:

sin 30° = `1/2`

θ = 30°