Problem

The height of the tide above mean sea level on January 24th at Cape Town is modelled by

h(t) = 3 \sin\left(\frac{\pi t}{6}\right)

metres, where

t

is the number of hours after midnight. a. Graph

y = h(t)

for

0 \le t \le 24

. b. When is high tide and what is the maximum height? c. What is the height of the tide at 2 pm? d. A ship can cross the harbour provided the tide is at least 2 m above mean sea level. When is crossing possible on January 24th?

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