Identify the given forces and the angle between them.

We are given two forces:
$F_1 = 7 \text{ N}$
$F_2 = 10 \text{ N}$
The angle between these two forces is $\theta = 60^\circ$.

The magnitude of the resultant force $R$ of two forces $F_1$ and $F_2$ acting at an angle $\theta$ to each other is given by the law of cosines:

Substitute $F_1 = 7 \text{ N}$, $F_2 = 10 \text{ N}$, and $\theta = 60^\circ$ into the formula.
We know that $\cos(60^\circ) = \frac{1}{2}$.

The resultant of the two forces is $\text{14.80 N}$.