Question

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

Answer 1

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}`