Question 1204542: The water level at an ocean inlet has a depth, d in meters, that varies with the time, t, in hours after midnight, according to the equation d = sin(2π(t-4/12.4)) + 6. What is the water depth at 5:30 ? To the nearest hundredth of a metre.
Answer by ikleyn(52898)   (Show Source):
You can put this solution on YOUR website! .
The water level at an ocean inlet has a depth, d in meters, that varies with the time, t,
in hours after midnight, according to the equation d = sin(2π(t-4/12.4)) + 6.
What is the water depth at 5:30 ? To the nearest hundredth of a metre.
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I will assime that 5:30 in this problem is 5:30 am; so t= 5.5 hours in the formula.
Then to get the answer, you should substitute t= 5.5 into the given formula
d = sin(2pi*((5.5-4)/12.4))) + 6 = 6.69 meters (approximately). ANSWER
This problem is a matter of substituting a value into the formula.
Notice that in your formula in the post, a pair of parentheses is missed,
so I added it based on my common sense and the rules of Math grammar.
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