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Use the image to answer the question.Solve for x in the triangle.Option D is 64.4

Use The Image To Answer The QuestionSolve For X In The TriangleOption D Is 644 class=

Sagot :

To find:

The value of x in the triangle.

Solution:

In the given triangle, if we use the cosine rule for the triangle:

[tex]\begin{gathered} \cos x=\frac{25^2+19^2-24^2}{2(25)(19)} \\ \cos x=\frac{625+361-576}{950} \\ \cos x=\frac{410}{950} \\ x=\cos^{-1}(\frac{41}{95}) \\ x=64.43 \end{gathered}[/tex]

Thus, option D is correct.

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