Right triangle

Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.

Correct answer:

A =  18.6667 °
B =  71.3333 °
C =  90 °
a =  10 cm
b =  29.6004 cm
c =  31.244 cm

Step-by-step explanation:

A=18+40/60=18.6667=18°40
B=90A=9018.6667=71.3333=71°20
C=90=90
a=10=10 cm
tanA=a/b b=a/tan(A° rad)=a/tan(A° 180π )=10/tan(18.666666666667° 1803.1415926 )=29.6=29.6004 cm
c=a2+b2=102+29.60042=31.244 cm

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