Question

A roller-coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30.08 above the horizontal. It next travels 135 ft at an angle of 40.08 down- ward. What is its displacement from its starting point

Answer 1

Distance between starting point to end point = 171 ft

Step-by-step explanation:

distance to be calculated is AB

AB = AC + BC

AC, Cos 60

= AC ÷ 135

AC = 135 cos 60

= 67.5 ft

BC, Cos 40

= BC ÷ 135

BC = 135 cos 40

= 103.416 ft

AB = 67.5 + 103.416

= 170.9159998210 ft

Distance between starting point to end point = 171 ft