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2 years ago

The law of cosines is used to find the measure of Z.

Mathematics

2 answers:

Vlad [161]2 years ago

4 0

we know that

The formula of the law of cosines is

$z^{2}=a^{2} +b^{2}-2*a*b*cos (Z)$

in this problem we have

$16^{2}=18^{2} +19^{2}-2*18*19*cos (Z)\\256=324+361-684*cos (Z)\\256=685-684*cos (Z)\\-429=-684*cos (Z)\\\\cos (Z)=\frac{429}{684}\\\\ \\Z=arc\ cos(\frac{429}{684})\\\\\\Z= 51.157$

Round to the nearest whole degree

Z=51 degrees

therefore

<u>the answer is</u>

51 degrees

NeX [460]2 years ago

4 0

Answer:

is 51 degrees

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\\
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\end{array}\\\\
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