Question

Tides are cyclical phenomena caused by the gravitational pull of the sun and the moon. On a particular retaining wall, the ocean generally reaches the 2.1 m mark at high tide. At low tide, the water reaches the 0.8 m mark. Assume that high tide occurs at 12:00 p.m. and at 12:00 a.m., and that low tide occurs at 6:00 p.m. and 6:00 a.m. What is the height of the water at 9:30 a.m.?

Answer 1

1.5581 m

Step-by-step explanation:

For every cycle, it takes 6 hours to get from a high to low tide and another 6 hours back to high tide.

The change in the height of the tide in meters is;

2.1 – 0. 8 = 1.3 m

Therefore for every 6 hours, the tides shift by 1.3 meters. The average change is;

1.3 m / 6 hr

= 0.217 m / hr

= 0.00361 m / min

At 9.30 am, the tides are rising from low tides of 6.00 am

9.30 – 6.00 = 3.30

3hrs 30 min

= 210 min

The rise of the tide at this time is by;

0.00361 * 210

= 0.7581 m

The height of the tides will therefore be;

0.8 m + 0.7581m

= 1.5581 m

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