math/geometry
posted by sally .
Jamie rides a Ferris wheel for five minutes. The diameter of the wheel is 10 meters,and its center is 6 meters above the ground. Each revolution of the wheel takes 30 seconds. Being more than 9 meters above the ground causes Jamie to suffer an anxiety attack. For
how many seconds does Jamie feel uncomfortable?

draw a triangle from the diameter horizontal, up from the horizontal 3m to intersect the circle, then the hyp is the radius back to the center.
h=3m so 3/5 = sinTheta theta= 36.8deg
So the person is below nine meters then the bottom 180deg, and the top each side 36.8 deg, or a total of 253.7 deg, or
253.7/360 percent of the time.
time above= 5min*253.7/360
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