The given triangle is a right triangle with sides 48 (adjacent to angle A) and 36 (opposite to angle A).
Step 2: Use Trigonometric Ratios to Find Angle A
To find angle A, use the tangent function:
\[ \tan(A) = \frac{\text{opposite}}{\text{adjacent}} = \frac{36}{48} = 0.75 \]
\[ A = \tan^{-1}(0.75) \]
Step 3: Calculate Angle A
Using a calculator:
\[ A \approx \tan^{-1}(0.75) \approx 36.87^\circ \]
Step 4: Calculate Angle B
Since the sum of angles in a triangle is 180 degrees and one angle is 90 degrees:
\[ B = 90^\circ - A \]
\[ B = 90^\circ - 36.87^\circ \approx 53.13^\circ \]