# 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?

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Expert Answers

ndnordic | Certified Educator

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