Question

Location 1. Times- 11.30am, 5:42pm, 11:55pm, and 6:07am. Tide heights- 0.6, 4.8, 0.6, and 4.8. Location 2. Times- 4:46pm, 10:59pm, 5:11am, and 11:24am. Tide height- -2.4, 3.3, -2.4, and 3.3. Find period and amplitude?

Answer 1

Location 1

Time from one low tide to next low tide `11:30"am"to 11:55"pm"`
is `12hr25min`

and

Time from one high tide to next lhigh tide `5:42"pm"to 6:07"pm"`
is `12hr25min`

So period is `12" hr "25 min`

And the amplitude is

`="high tide hight-lowtide hight"/2=(4.8-0.6)/2=2.1`

Location 2

Time from one low tide to next low tide `4:46"pm"to 5:11"am"`
is `12hr25min`

and

Time from one high tide to next lhigh tide `10:59"pm"to 11:24"am"`
is `12hr25min`

So period is `12" hr "25 min`

And the amplitude is

`="high tide hight-lowtide hight"/2=(3.3-(-2.4))/2=2.85`