We have been given that ∠Q is an acute angle such that [tex]\text{tan}(Q)=0.04[/tex]. We are asked to find the measure of angle Q to nearest tenth of a degree.
We will use arctan to solve for measure of angle Q as:
[tex]Q=\text{tan}^{-1}(0.04)[/tex]
Now we will use calculator to solve for Q as:
[tex]Q=2.290610042639^{\circ}[/tex]
Upon rounding to nearest tenth of degree, we will get:
[tex]Q=2.3^{\circ}[/tex]
Therefore, measure of angle Q is approximately 2.3 degrees.
