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

How to find value of coordinates when only angle degrees are give-example-1

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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

User Agi
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