Notice that we can draw a line that bisects the angle A to get the following right triangle:
we can find the length of w' using the function tangent:
[tex]\begin{gathered} \tan (24)=\frac{\text{opposite side}}{adjacent\text{ side}}=\frac{w^{\prime}}{8.4} \\ \Rightarrow w=8.4\cdot\tan (24)=3.74 \\ w^{\prime}=3.74 \end{gathered}[/tex]since w' is only the half of w, we have that w is:
[tex]w=2\cdot w^{\prime}=2(3.74)=7.48_{}[/tex]therefore, w = 7.48
