Problem
2. Match the ratio of side lengths to its corresponding angles measure. A. adjacent leg $\div$ hypotenuse $=0.139$ 1. $14^{\circ}$ B. opposite leg $\div$ adjacent leg $=0.249$ 2. $28^{\circ}$ C. opposite leg $\div$ hypotenuse $=0.469$ 3. $47^{\circ}$ D. adjacent leg $\div$ hypotenuse $=0.682$ 4. $58^{\circ}$ E. opposite leg $\div$ hypotenuse $\doteq 0.848$ 5. $82^{\circ}$
Solution
Step 1 ：Find the corresponding angle for each given ratio using inverse trigonometric functions: acos for adjacent leg/hypotenuse, atan for opposite leg/adjacent leg, and asin for opposite leg/hypotenuse.
Step 2 ：Convert the angles from radians to degrees and match them with their corresponding letters.
Step 3 ：\( \boxed{A. 82^\circ, B. 14^\circ, C. 28^\circ, D. 47^\circ, E. 58^\circ} \)
