Answer:
131.41 degrees
Step-by-step explanation:
Given the equation
5(sinθ+3) = sinθ+12
5sinθ+15 = sinθ+12
5sinθ-sinθ = 12 - 15
4sinθ = -3
sinθ = -3/4
θ = arcsin(-0.75)
θ = -48.59 degrees
Since sin is negative in the 3rd quadrant
α = 180 + θ
α = 180 - 48.59
α = 131.41degrees
Hence the required angle is 131.41 degrees
