(Solved): Consider a right triangle with side \( a \) opposite angle \( A \), side \( b \) opposite angle \( ...

Consider a right triangle with side \( a \) opposite angle \( A \), side \( b \) opposite angle \( B \), and side \( c \), the hypotenuse. Find the lengths of the missing sides if \( a=15 \) and \( \angle A=30^{\circ} \). Enter the exact answers.