38.3k views
5 votes
Hi, can you help me to solve this exercise, please!

Hi, can you help me to solve this exercise, please!-example-1
User Publicgk
by
4.0k points

1 Answer

2 votes

Use the next trigonometric ratio for angle 60º in a right triangle:


\cos 60º=\frac{\text{adjacent leg}}{hypotenuse}=(WX)/(YX)

Use the given data to solve WX:


\begin{gathered} \cos 60º=\frac{WX}{6\sqrt[]{3}} \\ \\ WX=6\sqrt[]{3}*\cos 60 \\ \\ WX=6\sqrt[]{3}*(1)/(2) \\ \\ WX=\frac{6\sqrt[]{3}}{2} \\ \\ WX=3\sqrt[]{3} \end{gathered}Then, WX is:
WX=3\sqrt[]{3}

User Waqar UlHaq
by
3.5k points