Question 1129880
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 = 38 
:
Draw a right triangle ABC, label the side opposite the angle as a, b, c
:
a side is adjacent to angle B, therefore
{{{38/c}}} = Cos(B)
{{{38/c}}} = 4/5
4c = 38 * 5
4c = 190
c = 190/4
c = 47.5 is the hypotenuse
:
Find b
Find angle B
{{{cos^-1(B)}}} = {{{4/5}}}
B = 36.87
sin(36.87) = {{{b/47.5}}}
b = 47.5 * sin(36.87)
b = 28.5