Sec 3 AM Trigonometry Applications to Real-Life: The Singapore Flyer, Ferris Wheel
The Singapore Flyer is the world’s largest Ferris Wheel as in year 2008. Its wheel has a radius of 75 m and makes a complete revolution in 30 minutes. The bottom of the wheel is 15 m above ground. Let $h$ m be the height of a passenger above ground $t$ minutes after boarding a compartment at the bottom of the wheel.
(a)
Express $h$ as a sine or cosine function of $t$.
(b)
Find the height of the passenger above ground after
(i) 7.5 minutes
(ii) 15 minutes
(iii) 20 minutes
(c)
Sketch the graph of the function in (a) for $0\le t\le 30$.
(d)
Find the interval of time that the passenger is above 100 m from the ground.
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