Question

Find B in degrees.

B
A
a
C
A b C
A = 40°
a = 8
b=7
B = [?] degrees
Round to the nearest tenth.

Answer 1

34.2°

Explanation:

sinB/b = sinA/a

sinB/7 = sin(40°)/8

sinB = 7sin(40°)/8

B=arcsin(7sin(40°))/8

So, to the nearest tenth, B is 34.2°.