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. $82^{\circ}$

Answer

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Answer

\( \boxed{A. 82^\circ, B. 14^\circ, C. 28^\circ, D. 47^\circ, E. 58^\circ} \)

Steps

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 :\( \boxed{A. 82^\circ, B. 14^\circ, C. 28^\circ, D. 47^\circ, E. 58^\circ} \)

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