Find $$m \angle B$$. Round to the nearest degree. ![](http://admin.getprephub.com/media/editor/t18_20220823212134171427.png)

In the given figure, $$b=A C=10, c=A B=8, a=B C= 15$$ By the law of cosines, $$b^{2}=c^{2}+a^{2}-2 a c \cos (m \angle B) $$ $$10^{2}=8^{2}+15^{2}-2.15 .8 \cos (m \angle B) $$ $$\cos (m \angle B)=0.7875 $$ $$m \angle B \approx \cos ^{-1}(0.7875) \approx 38^{\circ} .$$

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Question

Difficulty Level:

Easy

MCQ

Find $m \angle B$ . Round to the nearest degree.

Select all that apply :

$38^{\circ}$

$49^{\circ}$

$123^{\circ}$

$25^{\circ}$

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