Question

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

Answer 1

Answer:

B= 44.9506°

Step-by-step explanation:

WE apply sine angle formula

$\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}$

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

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Plug in the values

$\frac{10}{sin(B)}=\frac{11}{sin(51)}$

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°