It appears that you uploaded an image containing a math problem. I'll extract the information and solve the problem for you.

The problem in the image is: $2 \tan \theta = 1$

To find the value of the angle $\theta$, we can follow these steps:

Step 1: Solve for $\tan \theta$

$\tan \theta = \frac{1}{2}$

Step 2: Find $\theta$ using the arctangent function

$\theta = \arctan\left(\frac{1}{2}\right)$

Step 3: Calculate $\theta$

Using a calculator, we find: $\theta \approx 26.57^\circ$

Step 4: Round to the nearest degree

$\theta \approx 27^\circ$

So, the angle $\theta$ is approximately $27^\circ$ when rounded to the nearest degree.

Would you like more details or have any questions?

Here are five related questions you might find useful:

1. What is the general solution for $\tan \theta = \frac{1}{2}$?
2. How does the tangent function behave across different quadrants?
3. How can we find $\theta$ if given $\tan \theta = -\frac{1}{2}$?
4. What is the relationship between the tangent function and the sine and cosine functions?
5. How would you solve the equation if it was $2 \cot \theta = 1$ instead?

Tip: Always double-check your calculator settings (degrees vs radians) when solving trigonometric problems to avoid errors.