The problem asks us to find an angle given its tangent value. We are given that $\tan(x) = 0.4774$ and we are also provided intermediate calculation steps and the final answer.

1. Problem Description

The problem asks us to find an angle given its tangent value. We are given that $\tan(x) = 0.4774$ and we are also provided intermediate calculation steps and the final answer.

2. Solution Steps

The steps given appear to be finding the angle $x$ such that $\tan(x) = 0.4774$. The handwritten calculation begins with $1.0801$ and then calculates $1.0801 * 0.500 = 0.54005 \approx 0.5400$. Then $0.5400 + 0.2801 = 0.8201$. $0.8201 - 0.4774 = 0.3427$. It is clear that these calculations are not used directly to find the arctangent. The expression $\tan(x) = 0.4774$ suggests we need to calculate $x = \arctan(0.4774)$. The calculation provided shows that the angle is approximately $25.5^\circ$.

3. Final Answer

$25.5^\circ$