Answer
$\theta=47.2^{\circ}$
Work Step by Step
The required angle can be determined as follows:
$P=Fv$
We plug in the known values to obtain:
$(100hp)(550lb\cdot ft)=2500sin\theta(30)$
This simplifies to:
$\theta=sin^{-1}(\frac{55000}{75000})$
$\implies \theta=47.2^{\circ}$
