Answer:
4:42 a.m.
Step-by-step explanation:
The earliest low tide occurs by 2:00 a.m. and the earliest high tide occurs by 8:00 a.m.
Between these hours, 6 hours elapsed.
The lowest point is 1.1 m and increases steadily to 5.3 m.
Let us take 2:00 a.m. as the zeroth hour, and 8:00 a.m. as the 6th hour, we can safely interpolate as below,
0 = 1.1 m
x = 3 m
6 = 5.3 m
we solve as [tex]\frac{x - 0}{6 - 0}[/tex] = [tex]\frac{3 - 1.1}{5.3 - 1.1}[/tex]
[tex]\frac{x}{6}[/tex] = [tex]\frac{1.9}{4.2}[/tex]
4.2x = 11.4
x = 2.71 hours from 2:00 a.m.
= 2 hrs + (0.71 x 60)min = 2 hrs 42.6 min
the time will approximately be by 4:42 a.m.
