Question

Help please, show work!

Answer 1

All angles in a triangle add to 180 so

B = 180 - 90 - A
B = 90 - 20.8
B = 69.2

Can find b with tangent of A
tangent is opposite over adjacent.
opposite to A = 20.8 is 11.2 and adjacent is b

tan(20.8) = 11.2 / b
b = 11.2 / tan (20.8)
b = 29.5

c can be found with sine of A

sin(20.8) = 11.2 / c
c = 11.2 / sin(20.8)
c = 31.5

B = 69.2°,  b = 29.5, c = 31.5