Question

A child rides a toboggan down a hill that descends at an angle of 30.5° to the horizontal. If the

hill is 23.0 m long, what are the horizontal and vertical components of the child's displacement?

Answer 1

The horizontal component of the child's displacement is approximately 19.98 m and the vertical component is approximately 11.81 m.

Step-by-step explanation:

To find the horizontal and vertical components of the child's displacement, we can use trigonometry. The horizontal component of the displacement can be found by multiplying the length of the hill by the cosine of the angle: 23.0 m * cos(30.5°). The vertical component can be found by multiplying the length of the hill by the sine of the angle: 23.0 m * sin(30.5°).

So, the horizontal component of the child's displacement is approximately 19.98 m and the vertical component is approximately 11.81 m.