Can a Ship Enter a Harbor? Calculating Depth Using h(t) = 3 + 2sin(0.5236t)

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Homework Statement


h(t) = 3 + 2sin(0.5236t)
h = depth in meters (water)
t = number of hours after 7

1) A certain ship can only enter the harbor if the depth is 4.5m or more. For how long can this ship stay at the harbor?

Homework Equations

The Attempt at a Solution


I tried getting both of the sine solutions 1.619 and 2.293. I substracted the former from the latter but that didn't work. Can anyone point me in the right direction?
 
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BadatPhysicsguy said:

Homework Statement


h(t) = 3 + 2sin(0.5236t)
h = depth in meters (water)
t = number of hours after 7

1) A certain ship can only enter the harbor if the depth is 4.5m or more. For how long can this ship stay at the harbor?

Homework Equations

The Attempt at a Solution


I tried getting both of the sine solutions 1.619 and 2.293. I substracted the former from the latter but that didn't work. Can anyone point me in the right direction?
You forgot to divide 2.293 with 0.5236.
 
Write out your solution in full detail next time, to show how much work you have done. :)