The ferry operator at Picton, New Zealand

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The ferry operator at Picton, New Zealand, is studying the tides. High tides occur every 12.4 hours. The first high tide tomorrow will be at 1:30 am. The high tide will be 1.36 m and the low tide will be 0.16 m. Find a cosine function to model the tide height for the day. Let HH be the tide height and tt be the time in hours after midnight.

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