Question

Draw the indicated vector and determine the x- and y-components for each. a) a person walks 200. m at 27.0° north of east?

Answer 1

To determine the x- and y-components for a vector that walks 200 m at 27.0° north of east, you can use trigonometry to calculate the x and y-components based on the magnitude and angle of the vector.

Step-by-step explanation:

To draw the indicated vector and determine the x- and y-components, we can break down the vector into its horizontal (x) and vertical (y) components.

Given that the person walks 200 m at 27.0° north of east, we can determine the x and y components as follows:

x-component = magnitude * cos(angle)

y-component = magnitude * sin(angle)

Substituting the values:

x-component = 200 * cos(27.0°)

y-component = 200 * sin(27.0°)

Calculating the values:

x-component ≈ 200 * 0.891 = 178.2 m

y-component ≈ 200 * 0.451 = 90.2 m