If I understand the question (as I'm not so good in English):

answers

A) the sinus function is maximum at pi/2, 2pi+pi/2, 4pi+pi/2, ..., 2n*pi + pi/2...

pi/6 * t = pi/2 , you get t = 3

pi/6 * t = 2pi +pi/2 = 5pi/2 , you get t = 15

pi/6 * t = 4pi +pi/2 = 9pi/2 , you get t = 27 (which is greater then the number of the hours in one day)

So high tide was at 3 and 15 (3pm).

B) the maximum value of the sinus function is 1, so 4*1 = 4

C) just put t = 8: 4sin(pi/6 * 8) = 4sin(pi * 4/3) = 4 * (-0.5) = -2

D) You must find when h is 1. 1 = 4sin(pi/6t), with the calculator (put the DRG to radians!!!) you can find sin-1 of 1/4 is 0.25268... so t = 0.48...

If you sketch the tide you can see that it goes down under 1 again at 6-0.48=5.52 (because of symmetry). And the situation repeats after 12 hours. So the boat can cross from 0.48 to 5.52 and from 12.58 to 17.52.