Answer
$\phi = 30^{\circ}$
Work Step by Step
We can find the phase angle:
$P = P_{max}~cos^2~\phi$
$0.75~P_{max} = P_{max}~cos^2~\phi$
$cos^2~\phi = 0.75$
$cos~\phi = \sqrt{0.75}$
$cos~\phi = 0.866$
$\phi = cos^{-1}~(0.866)$
$\phi = 30^{\circ}$