Question

Could someone help me solve for W and X for the circled figure? Thanks!

Answer 1

We will analyze this triangle, as we can see we have a right triangle so we can use the trigonometric functions

`\begin{gathered} \tan (45)=(24)/(w) \\ w=(24)/(\tan (45)) \\ w=24 \end{gathered}`
`\begin{gathered} \cos (45)=(24)/(x) \\ x=(24)/(\cos (45))= \\ x=24\sqrt[]{2} \end{gathered}`

Then we have

`\begin{gathered} \tan (60)=(24)/(y) \\ y=(24)/(\tan60)=8\sqrt[]{3} \end{gathered}`

`\begin{gathered} \sin (60)=(24)/(z) \\ z=(24)/(\sin (60)) \\ z=16\sqrt[]{3} \end{gathered}`