Aroller coaster travels 200 feet horizontally and then rises 135 feet at an angle of 30 degrees above the ground. what is the magnitude of the resultant vector?

Say the initial point is (0,0)

The final point is

x = 200 + 135*cos(30) = 200 + 135*sqrt(3)/2 = 316.91 ft
y = 135*sin(30) = 135/2 = 67.5 ft

Resultant vector = (316.91, 67.5) - (0,0) = 316.91, 67.5) ft

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