You travel 50 meters at an angle of 37° North of East.
a) Calculate the Horizontal component.

a)     x = 39.9 m

Explanation:

To find the components of a vector we can use trigonometric relationships. Since they indicate that the angle is 37º north of east, this angle is measured counterclockwise from the x-axis, therefore using trigonometry.

          cos θ = x / d

          sin θ = y / d

where the angle is 37º and the distance d = 50 m

          x = d cos θ

          y = d sim θ

let's calculate

        x = 50 cos 37

        y = 50 sin 37

        x = 39.9 m

        y = 30.1 m