Two forces of $30 \mathrm{~N}$ (newtons) and $50 \mathrm{~N}$ act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the smaller force. The magnitude of the resultant is $\square$ Newtons. (Round to the nearest integer as needed.) The angle the resultant makes with the smaller force is $\square^{\circ}$. (Round to the nearest integer as needed.)

Step 1 ：Given two forces of magnitudes 30 N and 50 N acting at right angles to each other.

Step 2 ：We can find the magnitude of the resultant force using the Pythagorean theorem, which gives us \( \sqrt{30^2 + 50^2} \approx 58.31 \) N.

Step 3 ：However, we need to round this to the nearest integer, so the magnitude of the resultant force is \(\boxed{58} \) N.

Step 4 ：We can find the angle the resultant force makes with the smaller force using the tangent function, which gives us \( \tan^{-1}(\frac{50}{30}) \approx 59.04 \) degrees.

Step 5 ：Again, we need to round this to the nearest integer, so the angle the resultant force makes with the smaller force is \(\boxed{59^{\circ}} \).