# Trig

The seats of a Ferris wheel are 40 feet from the​ wheel's center. When you get on the​ ride, your seat is 6 feet above the ground. How far above the ground are you after rotating through an angle of 17pi/4?

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1. Make a sketch, it looks like the seats will form a circular path of radius 34 ft , (40-6)
At an angle of 17π/4, the wheel has gone around 4 times and a bit, 17π/4 = 4π + π/4

basic trig: sin π/4 = h/34
h = 34(√2/2) = 17√2 ft , where h is the distance of the seat from the centre.
so you would be 40 - 17√2 ft above the ground.

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