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A segment of length 1 is drawn from the origin at an angle of 30∘30∘. What are the coordinates of segment’s other endpoint?

Respuesta :

Answer:

Explanation:

Given

Length of segment is [tex]L=1 unit[/tex]

inclination of segment [tex]\theta =30^{\circ}[/tex]

To calculate the coordinates of segment we need to resolve its component in x and y co-ordinates

such that in triangle OPQ

[tex]\sin \theta =\frac{y}{L}[/tex]

[tex]y=L\sin 30[/tex]

[tex]y=1\times \frac{1}{2}=0.5 unit[/tex]

[tex]\cos \theta =\frac{x}{L}[/tex]

[tex]x=L\cos \theta [/tex]

[tex]x=1\times \cos 30[/tex]

[tex]x=1\times \frac{\sqrt{3}}{2}[/tex]

[tex]x=\frac{\sqrt{3}}{2} units[/tex]      

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