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Using law of cosines, what is angle X to the nearest degree

Using law of cosines, what is angle X to the nearest degree-example-1

2 Answers

5 votes

Answer:79 degrees

Explanation:

Jus took the test hope this helps

User Avinash Jadhav
by
6.8k points
2 votes

Answer:


X=68\°

Explanation:

we know that

Applying the law of cosines to the triangle of the figure


yz^2=xy^2+xz^2-2(xy)(xz)cos(X)

substitute the given values


9^2=8^2+8^2-2(8)(8)cos(X)

Solve for X


81=64+64-128cos(X)


81=128-128cos(X)


128cos(X)=128-81


128cos(X)=47


cos(X)=(47)/(128)

using a calculator


X=cos^(-1)((47)/(128))


X=68\°

User Shabeer
by
7.4k points
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