Question

In Δ A B C,∠C is a right angle. Two measures are given. Find the remaining sides and angles. Round your answers to the nearest tenth. m∠B=17.2°, b=8.3

Answer 1

`\angle A=180^(\circ)-\angle C-\angle B=\boxed{72.8^(\circ)}`

`\sin B=(b)/(c) \implies c=(b)/(\sin B)=(8.3)/(\sin 17.2^(\circ)) \approx \boxed{28.1}`

`\tan A=(a)/(b) \implies a=b \tan A=8.3\tan 72.8^(\circ) \approx \boxed{26.8}`