A right triangle has legs of lengths $4$ and $7$.

1. Find the measure of the angle opposite the shorter side.

   Hint (a):

   Make a sketch. What is the angle opposite the shorter side? What trig function involves this angle and the opposite and ajacent sides of it?

   

   Answer (a):

   $\text{tan }C = \frac{4}{7}\ \ \ \ \ \angle C \approx 29.74^{\circ}$

2. Find the measure of the angle opposite the longer side.

   Hint (b):

   Follow a similar process as (a) above.