Question

Can someone please help me

Answer 1

Explanation:

A. First, convert 30 minutes to a hour.

`(30 \: mins)/(1) * (1 \: hour)/(60 \: mins) = 0.5 \: hours`

`4 + 0.5 = 4.5 \: hours`

Now, we can subsitue.

Part A: 1.

`d(t) = 6 + 5.5 \cos( (\pi)/(6)(4.5) )`

`d(t) = 6 + 5.5 \cos( (3\pi)/(4) )`

Part B:

`\cos( (3\pi)/(4) ) = - ( √(2) )/(2)`

so

`6 + 5.5( - ( √(2) )/(2) )`

which is approximately

2.11. feet.

Part C: The depth of the water is approximately 2.11 feet in 4.5 hours, or 4 hours and 30 minuties.