Math

posted by Aidan

For a certain day, the depth of water, h, in metres in Tofino, B.C at time t, in hours, is given by the formula:
h(t)=7.8+3.5sin[pi/6(t-3)], tE[0,24]. Assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) of day, the water reaches the depth of 10.29m (Give answer in hours and minutes).

  1. Steve

    see related questions below. Just solve

    7.8+3.5sin[pi/6(t-3)] = 10.29

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math

    The table shows the depth (d metres) of water in a harbour at certain times (t hours) after midnight on a particular day. Time t (hours) Depth d (m) 0 3.0 1 3.3 2 4.2 3 5.6 4 7.2 5 8.2 6 9.0 7 8.9 8 8.1 9 7.3 10 5.6 11 4.3 12 3.5 13 …
  2. Calculus

    At a certain point on the beach, a post sticks out of the sand, its top being 76 cm above the beach. The depth of the water at the post varies sinusoidally with time due to the motion of the tides. The depth d is modeled by the equation …
  3. Math-calculus

    At a certain point on the beach, a post sticks out of the sand, it's top being 76 cm above the beach. The depth of the water at the post varies sinusoidally with time due to the motion of the tides. The depth d is modeled by the equation …
  4. math

    The depth of water(d metres) in a harbour is given by the formula d = a+bsin(ct) where a, b and c are constants, and t is the time in hours after midnight. It is known that both b and c are non-zero and 20<c<35. If t=midnight, …
  5. 9th grade math

    The depth of water(d metres) in a harbour is given by the formula d = a+bsin(ct) where a, b and c are constants, and t is the time in hours after midnight. It is known that both b and c are non-zero and 20<c<35. If t=midnight, …
  6. periodic functions(math)

    A vessel is crossing a channel. The depth of the water(measured in metres) varies with time and is represented by the following equation: d(t)=2.5sin(0.523t)+2.9 a. create a graph showing the depth of the water over 24 hours. b. what …
  7. math please help!!

    The depth d of water in a tank oscillates sinusoidally once every 4 hours. If the smallest depth is 7.9 feet and the largest depth is 10.1 feet, find a possible formula for the depth in terms of time t in hours. (Let the water depth …
  8. Math

    For a certain day,the depth of water,h, in metres in PEI, in hours is given by the formula:h(t) = 7.8sin (pi/6(t-3)), t E [0,24], assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) of day, the water …
  9. Math

    For a certain day,the depth of water,h, in metres in PEI, in hours is given by the formula:h(t) = 7.8 + sin3.5 (pi/6(t-3)), t E [0,24], assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) of day, …
  10. Math - Trig

    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 …

More Similar Questions