For the right triangle find the missing length. Round your answer
to the nearest tenth.

Answer:
w = 5
Step-by-step explanation:
In the given right triangle, by trigonometric ratio, we have:
[tex] \tan \: 60 \degree = \frac{5 \sqrt{3} }{w} \\ \\ \sqrt{3} = \frac{5\sqrt{3}}{w} \\ \\ w = \frac{5 \cancel {\sqrt{3}} }{ \cancel {\sqrt{3}} } \\ \\ w = 5[/tex]