Question

Find x and y components of a 25 m displacement vector at an angle of 30 degrees with x- axis.

Answer 1

Answer:

x=-21.66 & y=-12.5

Explanation:

By applying sine of the given angle you'll find the Y component and by applying cosine of the given angle you'll find the X component.

sin(30°)=y/25

1/2=y/25

Therefore, y= 12.5

cos(30°)=x/25

√3/2=x/25

Therefore, x=21.66 approximately

But since sine, cosine and their reciprocal have negative values in the third quadrant;

Therefore x=-21.66 & y=-12.5