Use the Law of Sines to solve for the remaining side(s) and angle(s) of all triangles if $$ \beta = 113 ^ { \circ } , b = 14.25 , c = 11.25 $$ . Round to two decimal places. As in the text, $$ ( \alpha , a ) , ( \beta , b ) $$ and $$ ( \gamma , c ) $$ are angle-side opposite pairs. If no such triangle exists, enter DNE in each answer box. Enter the values for an acute triangle solution: $$ \gamma = \square $$ degrees $$ \alpha = \square $$ degrees $$ a = \square $$ degrees Enter the values for an obtuse triangle solution: $$ \gamma ^ { \prime } = \square $$ degrees $$ \alpha ^ { \prime } = \square $$ degrees $$ a ^ { \prime } = \square $$ degrees

Question

Use the Law of Sines to solve for the remaining side(s) and angle(s) of all triangles if $$ \beta = 113 ^ { \circ } , b = 14.25 , c = 11.25 $$ . Round to two decimal places.  As in the text, $$ ( \alpha , a ) , ( \beta , b ) $$ and $$ ( \gamma , c ) $$ are angle-side opposite pairs. If no such triangle exists, enter DNE in each answer box.  Enter the values for an acute triangle solution: $$ \gamma = \square $$ degrees $$ \alpha = \square $$ degrees $$ a = \square $$ degrees  Enter the values for an obtuse triangle solution: $$ \gamma ^ { \prime } = \square $$ degrees $$ \alpha ^ { \prime } = \square $$ degrees $$ a ^ { \prime } = \square $$ degrees

George Edwards · Accepted Answer

$$\gamma ^ { \prime } = 46.6 $$ degrees $$ \alpha ^ { \prime } = 20.4 $$ degrees $$ a ^ { \prime } = 5.4$$

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