Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. cos(B) = 4/5 , a = 54

Question

I have to find b= ?

I have to find c=?

Answer 1

RIght triangle ABC.

A on the bottom, C directly above A is the right angle, B on the right.

B = inverse_cosine(4/5) = 36.869897645....

tan B = b/a

a * tan B = b

b = tan 36.869897645...*54 = 40.5

c = 67.5