The expression w^4 - 36 is equivalent to
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This corresponds to a sinusoidal graph, we have:
Radius= 20 feet, that corresponds to the amplitud (A)
One revolution takes 24 seconds, that corresponds to the period
Min= 3 feet
k=360/24=15
D= bottom distance+ amplitud=3+20=23 feet
Then, let x be the time, in seconds:
a) To determine Reid's height after 1 minute= 60 seconds, substitute x=60
b) To determine when Reid's height will first reach 18 feet, we have to substitute y=18 feet, and isolate x:
for this case we have to define trigonometric relations of rectangular triangles, that the tangent of an angle is given by the leg opposite the angle on the leg adjacent to the angle. So:
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