If 8cosθ + √3 = 5√3, which is the measure of θ in degrees?

Question

1. 135°
2. 60°
3. 330°
4. 120°

Answer 1

8 cos θ + √3 = 5√3

8 cos θ = 4√3

cos θ = √3 / 2

Look up the 30-60-90 triangle ratios.