Question

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?

Answer 1

Step-by-step explanation:

Given

Length of segment is
`L=1 unit`

inclination of segment
`\theta =30^(\circ)`

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

such that in triangle OPQ

`\sin \theta =(y)/(L)`

`y=L\sin 30`

`y=1* (1)/(2)=0.5 unit`

`\cos \theta =(x)/(L)`

`x=L\cos \theta`

`x=1* \cos 30`

`x=1* (√(3))/(2)`

`x=(√(3))/(2) units`