Question

A sled travels 15 meters down a slope inclined at 30 degrees with a horizontal. What is the horizontal displacement of the sled?

Answer 1

Length of the slope is given as

$L = 15 m$

also the inclination is given as

$\theta = 30 degree$

now the horizontal displacement is let say "x"

now from geometry we can say

$\frac{x}{L} = cos30$

$x = L cos30$

now substitute all values in it

$x = 15 * cos30$

$x = 12.99 m$

so it will displace horizontally by 12.99 m