On orca beach, the high tide is 2 meters and only occurs at 12 a. m. and 12 p. m. the low tide is 0.8 meter and only occurs at 6 a. m. and 6 p. m. which function models the height of the tide t hours after 12 a. m.? choices: 1. h(t)=2cos(πt/3)+0.8 2. h(t)=0.6cos (πt/6) + 1.4 3. 0.6sin(πt/6) + 1.4 4. 1.4sin (πt/3) + 2

  2.  h(t)=0.6cos (πt/6) + 1.4

Step-by-step explanation:

The average water level is (2 +0.8)/2 = 1.4, so this is the offset that is added to the sine or cosine function. That eliminates choices 1 and 4.

The high tide occurs when t=0 (at 12 AM), so eliminating choice 3.

The function that models the height of the tide t hours after 12 AM is ...

  h(t)=0.6cos (πt/6) + 1.4

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7

step-by-step explanation: