Answer:
θ=arctan(4) or 75.96°
Explanation:
sinθ=4cosθ (given)
sinθ/cosθ = 4cosθ/cosθ (divide both sides by cosθ)
sinθ/cosθ = 4 (cancel cosθ)
tanθ=4 (sin/cos is equal to tan)
θ=arctan(4)(transposing tan will give you arctan)
θ=75.96 (calculation will give you this)