Answer
$R = 89~\Omega$
Work Step by Step
We can find the resistance:
$tan~\phi = \frac{X_L-X_C}{R}$
$R = \frac{X_L-X_C}{tan~\phi}$
$R = \frac{\omega_d~L-1/\omega_d~C}{tan~\phi}$
$R = \frac{2\pi~f~L-1/2\pi~f~C}{tan~\phi}$
$R = \frac{(2\pi)~(930~Hz)~(88\times 10^{-3}~H)-1/(2\pi)~(930~Hz)~(0.94\times 10^{-6}~F)}{tan~75^{\circ}}$
$R = 89~\Omega$
