Question

Given that c=8 b=12 and C=37 degrees find the measure of B.

Answer 1

there u go. hope it helps

Answer 2

B = 64.52°

Explanation:

Given measures of the triangle ABC are

b = 12, c = 8 and ∠c = 37°

we have to find the measure of ∠B

By applying sine rule in the triangle ABC,

`(sinB)/(b)=(sin C)/(c)`

`(sinB)/(12)=(sin37°)/(8)`

`(sinB)/(12)=(0.601815)/(8)` = 0.07523

By cross multiplication

Sin B = 12 × 0.07523

= 0.9027

B =
`sin^(-1)` ( 0.9027 )

B = 64.52°