The height h(t) meters above the tide above sea level on January 24th at Cape Town is modeled approximately by h(t)=3sin(30t) where, ‘t’ is the number of hours after midnight. II. When is the high tide ? Graph y=h(t) for 0

Question

The height h(t) meters above the tide above sea level on January 24th at Cape Town is modeled approximately by h(t)=3sin(30t) where, ‘t’ is the number of hours after midnight. II. When is the high tide ? Graph y=h(t) for 0<t<24

harsimran_hs4 · Answer

do you have knowledge about period of a graph?

anonymous · Answer

yes i know it, at first i would have thought to graph the function as y=3sin(30x) but my friend said it was not right for some reason

harsimran_hs4 · Answer

ok can you draw that basic sketch which you have in mind?

anonymous · Answer

yes i can

harsimran_hs4 · Answer

cool then draw and tell me what the graph looks like?
also tell me the period of this graph

anonymous · Answer

well i would have thought the graph looked like this

anonymous · Answer

the function is y=3sin(30x)

harsimran_hs4 · Answer

as long as it repeates itself 30 times in range (0 , pi) you are correct

anonymous · Answer

would there be any reason for it to be wrong, because my friend said it was wrong and that it did not look like that?

agent0smith · Answer

Graph for comparison; https://www.google.com/search?q=3sin(30t)&oq=3sin(30t)&aqs=chrome.0.57&sourceid=chrome&ie=UTF-8

harsimran_hs4 · Answer

no i find it to be correct
1. it`s shape should remain like a sinusoidal curve which it is
2. it must have a period of 2*pi/30 which it has 
3. maximum and minimum value should be 3 and -3 which is 

so it`s indeed correct

anonymous · Answer

may i ask you whether the funtion y=3sin(30x) is the correct function relating to the question?

anonymous · Answer

and does it matter where the x-axis is in radians despite the question being in hours?

harsimran_hs4 · Answer

sorry about this i can`t tell if it`s correct corresponding to the tide level

harsimran_hs4 · Answer

in such questions the dimensions of 30 are such that after multiplication with time thay come out to be radians or degree , preferably in radians

anonymous · Answer

Ok, thank you so much for your time and if there is anything i can do to increase your medals or level or something please just tell me because im cmpletely new to this

harsimran_hs4 · Answer

no problem about that, our priority is to get your doubts cleared
thanks for the concern
if you face any other doubt please feel free to ask

anonymous · Answer

Thank You

harsimran_hs4 · Answer

:)