Question

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

Answer 1

a) x = 39.9 m

Step-by-step 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