Question

Find the measure of angle B, note that angle B is acute

Answer 1

B= 44.9506°

Explanation:

WE apply sine angle formula

`(a)/(sin(A)) =(b)/(sin(B))=(c)/(sin(C))`

Given angle C = 51, c= 11 and b = 10

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

Plug in the values

`(10)/(sin(B))=(11)/(sin(51))`

Cross multiply it

10 * sin(51) = 11* sin(B)

7.771459615 = 11 sin(B)

Now divide by 11 on both sides

0.706496328 = sin(B)

Now
`B = sin^(-1) (0.706496328)`

B= 44.9506°