Alpha angle

Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.

Correct answer:

a =  15.123
b =  4.5755
β =  16.8333 °
S =  34.5976

Step-by-step explanation:

c=15.8 α=73°10′=73°+6010​°=73.1667°≐73.1667  sin α = ca​ a=c⋅ sin(α)=15.8⋅ sin(73.166666666667°)=15.123
b=c2−a2​=15.82−15.1232​=4.5755
β=90−α=90−73.1667=6101​∘=16.8333∘=16°50′
S=2a⋅ b​=215.123⋅ 4.5755​=34.5976

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