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itsonlycdeee
 2 years ago
The equation below gives the height h of a passenger on a Ferris wheel at any time t during the ride to be
h = 137 − 122 cos (π/10)t
where h is given in feet and t is given in minutes. Use this equation to find the times at which a passenger will be 120 feet above the ground during the first revolution.
I found the first time, which is about 4.5, but I'm confused on how to find the second time.
itsonlycdeee
 2 years ago
The equation below gives the height h of a passenger on a Ferris wheel at any time t during the ride to be h = 137 − 122 cos (π/10)t where h is given in feet and t is given in minutes. Use this equation to find the times at which a passenger will be 120 feet above the ground during the first revolution. I found the first time, which is about 4.5, but I'm confused on how to find the second time.

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anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0are you familiar with the unit circle? the are 2 quadrants in the unit circle which cos(t) is positive

itsonlycdeee
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, the 1st quadrant and the 4th quadrant.

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0is t inside or outside of the cos?

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0are you sure?, because then h = 137 − 122 cos (π/10)t would be linear, meaning there is only 1 time h = 120

itsonlycdeee
 2 years ago
Best ResponseYou've already chosen the best response.0Oh, then inside does make more sense.

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0120 = 137 − 122 cos (π/10*t) 17 = 112 cos(π/10*t) 17/112 = cos(pi/10*t) \[\cos^{1} (17/112) = \frac{ \pi }{ 10 }t\]

itsonlycdeee
 2 years ago
Best ResponseYou've already chosen the best response.0Thank you I just figured it out!
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