The position vectors particle has length 1m and makes `30^(@)` with the x-axis. What are the lengths of the x and y components of the position vector?

Answer

Given:
Length of position vector = 1 m
Angle made with x axis = 30

Explanation

Length of X component `(OB)=OAcostheta=1xxcos30^(@)`
`l_(x)=(sqrt3)/(2)m` (or) 0.87m
Length of Y component `(AB)=OAsintheta=1xxsin30^(@)=(1)/(2)=0.5m,l_(v)=0.5m`