A child rides a toboggan down a hill that descends at an angle of 11.7 degrees to the horizontal.The hill is 26.3 m long.What's the. . .horizontal and vertical component of the child's displacement?
To find the horizontal and vertical components of a vector, construct a right triangle with one angle of 11.7 degrees, and a hypotenuse of length 26.3.
To find the vertical component, recognize that the sin 11.7 = y/26.3
solve for y = 5.333 m
To find the horizontal component, recognize that the cos 11.7 = x/26.3
solve for x = 25.754 m