Question

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

Answer 1

To find:

The value of x in the triangle.

Solution:

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

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

Thus, option D is correct.