The tides at Cape Capstan, New Brunswick, cause the depth of the water in the harbour to change. The tidal chart indicates that the tides have a high point of approximately 10 m at 2.00 pm and a low point of 1.2 m at 8.15 pm. A sailboat has a draft of 2m. The water needs to be at least 2 m deep in order to the sailboat to safely pass. At what times on that day can the sailboat safely travel in the harbour?

Oh another thing I forgot to add, the problem I have with this question is I don't know where to start, I know I need a graph and equation, but I don't know exactly where to start

Without a graph, you might try fitting 1/4 of a sine or cosine wave between the high and low tide times of day. (Maximum at 2 PM and minimum at 8:15 PM)

Mean depth = 5.6 m
Amplitude = 4.4 m
quarter-period = 6.25 hours

To determine the safe travel times for the sailboat in the harbor, we need to find the periods when the water depth is at least 2 meters or more.

Based on the given information, we know the high point of the tide is approximately 10 meters at 2.00 pm and the low point is 1.2 meters at 8.15 pm.

To find the periods when the water depth is 2 meters or more, we can compare the tide heights at different times.

First, let's look at the tide heights before and after 2.00 pm. Since the high point is 10 meters, which is more than 2 meters, the sailboat can safely travel until the next low point.

Next, let's find out when the next low point occurs. We can look at the time after 8.15 pm and see when the tide reaches a height of 2 meters or more.

Checking the tidal chart, we find that the next low point is at 1.2 meters at 8.15 pm. The tide needs to rise by at least 0.8 meters to reach a safe passage depth of 2 meters.

Now, we need to determine when the tide reaches a height of 2 meters after 8.15 pm. We can use the tide's average rate of rise and fall to estimate this time. Let's assume the average rate is 0.6 meters per hour.

From 8.15 pm to 9.15 pm, the tide would have risen by approximately 0.6 meters. This brings the tide height to around 1.8 meters at 9.15 pm.

From 9.15 pm to 10.15 pm, the tide would have risen by another 0.6 meters. This brings the tide height to around 2.4 meters at 10.15 pm.

Based on this estimation, the sailboat can safely travel in the harbor from 2.00 pm until at least 10.15 pm.

It is important to note that actual tidal patterns can vary, and it would be best to consult a detailed tidal chart or contact local authorities for precise information about the safe travel times in Cape Capstan, New Brunswick.

The boat can sail the harbor when the water is 2 or more feet deep. You need a tidal graph to estimate that time interval. It would be anytime except, roughly, 7 to 9:30 PM