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?

The position vectors particle has length 1m and makes 30^(@) with the

1.	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» Solution :Length of position vector = 1 m, Angle made with X axis =30 `"Length of X component (OB)" = OA cos theta = 1 xx cos 30^(@)` `l_(x)= (SQRT(3))/(2)`m or 0.87m `"Length of Y component (AB)" =OA sin theta =1 x sin 30^(@) = (1)/(2) = 0.5 m. , l_(y)=0.5 m `