Question

How to find value of coordinates when only angle degrees are give

Answer 1

We just need to apply some trigonometric identities:

`\sin (45)=\frac{s}{13\sqrt[]{2}}\Rightarrow s=13\sqrt[]{2}\sin (45)=13=w`
`\cos (45)=\frac{x}{13\sqrt[]{2}}\Rightarrow x=13\sqrt[]{2}\cos (45)=13=v`

Then we have until now s=w=x=v=13, lets continue now with the other ones

`20-w=y-s\Rightarrow20-13=y-13\Rightarrow y=20`

Finally, to find z we apply the tangent identity:

`\tan (30)=(13)/(z-20)\Rightarrow z=(13)/(\tan (30))+20=20+13\sqrt[]{3}`

then z=42.5166605 aproximately