Trig question

  • #1

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?
 

Answers and Replies

  • #2
ehild
Homework Helper
15,543
1,912

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.
 
  • #3
ehild
Homework Helper
15,543
1,912
Write out your solution in full detail next time, to show how much work you have done. :)
 

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