A

Step 1: We start with the trigonometric values provided in the question:

• $ ext{sin} \theta = \frac{1}{2}$
• $ ext{cos} \theta = \frac{1}{2}$
• $ ext{tan} \theta = 1$

Step 2: We know from trigonometric ratios that:
- The angle for which $ ext{sin} \theta = \frac{1}{2}$ is $30^ ext{o}$ or $150^ ext{o}$.
- However, since $\theta$ is stated to be acute, we only consider $30^ ext{o}$.
Step 3: Additionally, we can check $ ext{cos} \theta$:
If $ ext{cos} \theta = \frac{1}{2}$, the corresponding acute angle is also $60^ ext{o}$. But both ratios agree with $ ext{tan} \theta = 1$, which corresponds to $45^ ext{o}$, leading us to conclude that the only angle satisfying both sine and cosine properties must be $30^ ext{o}$.
Conclusion: Thus, the required angle $\theta$ is $30^ ext{o}$.