(i)[1]
Determine the passenger’s maximum height above the ground.
(ii)[2]
Show that $k = \frac{\pi}{15}$.
(iii)[3]
Determine the time when the passenger is above a height of $90\,\text{m}$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
A city-centre tourist attraction is a large vertical wheel that passengers can travel on. Its motion is modelled by the formula $h = 60(1 - \cos kt)$, where $h$ m is the passenger’s height above the ground, $k$ is a constant, $t$ is the number of minutes since the passenger began the ride at ground level, and $kt$ is measured in radians.