Trigonometry Question
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Grade 11 Trigonometry CCSS: HSF-TF.B.7
Tim and Andrew are on a Ferris wheel. Their vertical height above the ground can be modeled by the function H(t)=-40cos(π5t)+43, where H is measured in meters and t is measured in minutes, t=0 corresponding to when they got on the Ferris wheel. If they are currently 56 m above the ground and are partway through their second rotation, which of the following are possibilities of how long they have been on the ride? Assume that the Ferris wheel has not stopped since Tim and Andrew got on. Choose all correct answers.
- 3 minutes and 2 seconds
- 16 minutes and 58 seconds
- 13 minutes and 2 seconds
- 11 minutes and 58 seconds