# trig

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The ferris wheel in an amusement park. It has a diameter of 24m, and it takes 40s to make one complete revolution. If Peter gets on a gondola which is vertically below the centre of the ferris wheel, find his rise in the height after 5s.

• trig -

I drew a circle, and a vertical radius of 12 m
In 40 s, it rotates 360°, so in 5 sec it rotated 45°
let the vertical position from the centre be y
cos45 = y/12
y = 8.485 m

so he is 12-8.85 or appr 3.5 m high after 5 seconds

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