Answer
$x \approx 7.4$
Work Step by Step
Apply the Law of Sines.
$\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c} $
Rearrange the above two ratio setup to obtain:
$\dfrac{\sin A}{a} =\dfrac{\sin B}{b}\\\dfrac{\sin 48^{\circ}}{x} =\dfrac{\sin 93^{\circ}}{10} \\ x=\dfrac{10 \sin 48^{\circ}}{\sin 93^{\circ}} ~~~(1)$
After using a calculator, the equation (1) becomes:
$x \approx 7.4$
