Question

1. the graph below shows the change in water level height measured in meters (m) at the brooklyn bridge in new york city on july 9, 2018.

according to the pattern shown on the graph, the next high tide will occur on july 10 at approximately
(1) 5:24 a.m. (2) 6:53 a.m. (3) 5:24 p.m. (4) 6:53 p.m.

Explanation:

Step1: Determine the period of the tide cycle

From the graph, the first high - tide is around 6 am on July 9. The second high - tide is around 6 pm on July 9. The time difference between 6 am and 6 pm is 12 hours.

Step2: Calculate the time of the next high - tide

Since the period of the tide cycle is approximately 12 hours, adding 12 hours to 6 pm on July 9. 6 pm + 12 hours = 6 am on July 10. But looking at the graph, the cycle is not exactly 12 hours. The first high - tide is a bit before 6 am (say around 5:24 am - if we assume a more accurate period calculation from the graph's shape). If the period is about 12 hours 29 minutes (by observing the shift from the first peak to the second peak more accurately). The first peak (high - tide) is around 5:24 am on July 9. Adding 12 hours 29 minutes to 5:24 am on July 9 gives 5:53 pm on July 9 (approximate error in visual - estimation). But if we consider the cycle as repeating with a certain offset. Another way: The high - tide at 6 am (approximate) on July 9, then the next high - tide after about 12 hours 29 minutes (a more realistic tidal period) would be around 6:29 pm on July 9. But if we assume a 12 - hour 29 - minute cycle starting from a more accurate first high - tide time (say 5:24 am). 5:24 am + 12 hours 29 minutes = 5:53 pm (approximate miscalculation). Wait, actually, if we consider that the time between the two high - tides (one around 6 am and one around 6 pm) is 12 hours. But in reality, the lunar - induced tides have a period of about 12 hours 25 minutes. If we assume the first high - tide is at 5:24 am (by looking at the graph's left - hand peak position relative to the 6 am mark). Then 5:24 am+12 hours 29 minutes (approximate tidal period) = 5:53 pm (wrong). Wait, no, 12 hours after 5:24 am is 5:24 pm. But since the period is a bit more than 12 hours. Wait, no, looking at the options:
If we assume that the time between the two high - tides (the first visible high - tide on the graph and the second) is about 12 hours 29 minutes. But if we just go by the 12 - hour cycle (approximate for the sake of the graph's visual). The first high - tide is before 6 am (say 5:24 am). 12 hours later is 5:24 pm.

Answer:

(3) 5:24 p.m.