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Nice question...... The road to an island close to the shore is sometimes covered by the tide. When the water rises to the level of the road, the road is closed. On a particular day, the water at high tide is a height 4.6 m above mean sea level. The height, h metres, of the tide is modelled by using the equation h = 4.6 cos k t(degrees), where t is the time in hours from high tide; it is also assumbed that high tides occur every 12 hours.
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equation \[h = 4.6 \cos k t^{o} \] 1) Determine the value of k
2) On the same day, a notice says that the road will be closed for 3 hours. Assuming that this notice is correct, find the height of the rroad above the sea level.
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