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vladimir1956 [14]
3 years ago
10

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

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

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°

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