We are given a right triangle VUT, where angle U is the right angle. The length of side VU is 4 and the length of side VT is 9.4. We need to find the measure of angle V, which is labeled as $x$, rounded to the nearest tenth of a degree.

1. Problem Description

We are given a right triangle VUT, where angle U is the right angle. The length of side VU is 4 and the length of side VT is 9.

4. We need to find the measure of angle V, which is labeled as $x$, rounded to the nearest tenth of a degree.

2. Solution Steps

Since we have a right triangle, we can use trigonometric ratios to find the angle $x$. We know the adjacent side (VU) and the hypotenuse (VT) relative to angle V. Therefore, we can use the cosine function:

$cos(x) = \frac{adjacent}{hypotenuse}$

$cos(x) = \frac{VU}{VT}$

$cos(x) = \frac{4}{9.4}$

Now, we need to find the inverse cosine (arccosine) of $\frac{4}{9.4}$ to solve for $x$:

$x = cos^{-1}(\frac{4}{9.4})$

$x \approx cos^{-1}(0.4255)$

Using a calculator, we find:

$x \approx 64.84$ degrees

We need to round the answer to the nearest tenth of a degree:

$x \approx 64.8$ degrees

3. Final Answer

The value of $x$ is approximately 64.8 degrees.