For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depthof water around the boat, d(t), in meters, where t is measured in hours since midnight,isd(t) = 5 + 4.6 sin(0.5t).(a) What is the period of the tides in hours?(b) If the boat leaves the bay at midday, what is the latest time it can return beforethe water becomes too shallow?

Given information: 2.5m=Minimum depth of water for a boat to floatdt=the depth as function of time…

For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water around the boat, d(t), in meters, where t is measured in hours since midnight, is a(t) = 5 + 4.6 sin(0.5t). (a) What is the period of the tides in hours? (b) If the boat leaves the bay at midday, what is the latest time it can return before the water becomes too shallow?

For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water around the boat, d(t), in meters, where t is measured in hours since midnight, is a(t) = 5 + 4.6 sin(0.5t). (a) What is the period of the tides in hours? (b) If the boat leaves the bay at midday, what is the latest time it can return before the water becomes too shallow?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 41CT

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