Question

то 13.) Solve the right triangle. Round answers to the nearest tenth. To receive full credit you must show all work. R S 57° 15 T RT = RS= m/T=

Answer 1

RT = 17.9

RS = 9.7

m<T = 33°

Explanation:

sin R = opp/hyp

sin R = ST/RT

sin 57° = 15/RT

RT = 15/sin 57°

RT = 17.9

cos R = adj/hyp

cos R = RS/RT

cos 57° = RS/17.88544939

RS = 17.88544939 × cos 57°

RS = 9.7

m<R + m<S + m<T = 180°

57° + 90° + m<T = 180°

m<T = 33°