The depth of water, h, in metres at time t, in hours, is given by the formula: h(t)=7.8+3.5sin[pi/6(t−3)]. Its a 24 hours period and t=0 is midnight. Provide an algebraic solution to determine the time(s) of day, the water reaches the depth of 10.29 m

Question

The depth of water, h, in metres at time t, in hours, is given by the formula: h(t)=7.8+3.5sin[pi/6(t−3)]. Its a 24 hours period and t=0 is midnight.  Provide an algebraic solution to determine the time(s) of day, the water reaches the depth of 10.29 m

i got one time 4.51 but i have no idea how to get the others? i have graphed it on desmos and seen which point are the right answer but i don't know how to derive them algebraically. help plz!

Reiny · Answer

All you have to do is follow the same steps I used to get the answer of 4.51 http://www.jiskha.com/display.cgi?id=1469238292

Sherry · Answer

thanks and sorry i didn't know some one already posted this.