3. Solve the following triangles. (3 points each)
a) $\triangle C A T$, where $\angle A=90^{\circ}, \angle C=38.1^{\circ}$, side $c=9.3$

Step 1 ：\(\angle A = 90^\circ\), \(\angle C = 38.1^\circ\), and \(c = 9.3\)

Step 2 ：Find \(\angle B\) using the fact that the sum of angles in a triangle is 180 degrees: \(\angle B = 180^\circ - \angle A - \angle C = 180^\circ - 90^\circ - 38.1^\circ = 51.9^\circ\)

Step 3 ：Use the sine function to find side a: \(a = c \cdot \sin{\angle C} = 9.3 \cdot \sin{38.1^\circ} \approx 5.74\)

Step 4 ：Use the cosine function to find side b: \(b = c \cdot \cos{\angle C} = 9.3 \cdot \cos{38.1^\circ} \approx 7.32\)

Step 5 ：\(\boxed{\text{In triangle CAT, angle B is 51.9 degrees, side a is approximately 5.74, and side b is approximately 7.32}}\)