Question

A car travels straight for 20 miles on a road that is 30° north of east. What is the east component of the car’s displacement to the nearest tenth of a mile? -17. 3 miles -10. 0 miles 10. 0 miles 17. 3 miles.

Answer 1

The east component of the cars displacement is 17.3 miles.

Trigonometric ratio is used to show the relationship between the sides of a right angled triangle and its angles.

Let x represent the east component of the cars displacement.

Using trigonometric ratio:

cos(30) = x / 20

x = 20 * cos(30)

x = 17.3 miles

The east component of the cars displacement is 17.3 miles.

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