Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Redraw the given figure
STEP 2: Find the value of w/2
[tex]\begin{gathered} Using\text{ the tan ratio;} \\ \tan\theta=\frac{opp}{adj} \\ tan24.5=\frac{w}{\frac{2}{3.9}}=\frac{w}{2}\cdot\frac{1}{3.9}=\frac{w}{7.8} \\ By\text{ cross multiplication,} \\ w=7.8\cdot0.455726255=3.554664793 \end{gathered}[/tex]
STP 3: Fins the value of w
[tex]w\approx3.55cm[/tex]
Hence, the width is approximately 3.55cm
