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 result:

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

Solution:

A=18+40/60=563=18.6667∘=18∘40′
B=90−A=90−18.6667=2143=71.3333∘=71∘20′
C=90=90∘
a=10=10 cm
tan⁡A=a/b b=a/tan⁡(A∘→ rad)=a/tan⁡(A∘⋅ π180 )=10/tan⁡(18.6666666667∘⋅ 3.1415926180 )=29.6=29.6004 cm
c=a2+b2=102+29.60042=31.244 cm

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