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What is x? how would i find the value of x?

What is x? how would i find the value of x?-example-1
User Soufiane
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Given the Right Triangle XYZ, you can identify that:


\begin{gathered} XY=3.8 \\ XZ=6.5 \end{gathered}

In order to find the measure of the angle "x", you need to use the following Inverse Trigonometric Function:


\theta=cos^(-1)((adjacent)/(hypotenuse))

In this case, you can identify that:


\begin{gathered} \theta=x \\ adjacent=XY=3.8 \\ hypotenuse=XZ=6.5 \end{gathered}

Then, by substituting values and evaluating, you get:


x=cos^(-1)((3.8)/(6.5))
x\approx54\text{\degree}

Hence, the answer is:


x\approx54\text{\degree}
User Anatole
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