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Trigonometric Functions · Paper 2 — Free Maths AA HL Practice Questions

1MasterySAQ-SSine, cosine, and tangent functionss6 marksPaper 2~9 min
A Ferris wheel has a diameter of 50 m50\,\text{m} and completes one full revolution every 4040 seconds. The lowest point of the wheel is 2 m2\,\text{m} above the ground. A passenger boards at the lowest point at time t=0t = 0 seconds. Let h(t)h(t) metres denote the height of the passenger above the ground at time tt seconds.
(a)
Show that h(t)=27−25cos⁡ ⁣(π20t)h(t) = 27 - 25\cos\!\left(\dfrac{\pi}{20}t\right). [3 marks]
(b)
Calculate the first time after t=0t = 0 at which the passenger is at a height of 40 m40\,\text{m} above the ground. Give your answer correct to 3 significant figures. [3 marks]
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