trig problem

posted by .

Hi,
A fountain in a shopping centre has a single jet of water. The height of the jet of water varies according to a sinusoidal function. A student notes that, in exactly one minute, the jet goes from a minimum height of 2m to a maximum height of 6m and back to 2m.

At 13:00, the jet of water is at a height of 2m.
What will be the height of the jet of water, to the nearest tenth of a metre, when the clock reads 13:12:40? (13hr, 12min, 40sec). Thanks a lot!

  • trig problem -

    F = 1c/min = 1rev/min. = Frquency.
    P = 1/F = 1min/rev. = The period.

    T = 13:12:40 - 13:0:0 = 12min,40s. =
    12 2/3 min. = 38/3 min.

    1rev/min * (38/3)min = 12 2/3 rev.
    (2/3)rev * 360Deg/rev = 240 Deg.

    Ar=240-180 = 60 Deg.=Reference angle.

    h = hmax*sinAr = 6*sin60 = 5.2 m.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the jet stream, covered 550 …
  2. Application prob. for Trig.

    Hi, A fountain in a shopping centre has a single jet of water. The height of the jet of water varies according to a sinusoidal function. A student notes that, in exactly one minute, the jet goes from a minimum height of 2m to a maximum …
  3. algebra

    Jet #1 leaves an airport at 600 km/h. Jet #2 leaves 3/4 hour after jet #1 in same direction. How long until jet #2 overtakes jet #1
  4. fluid

    a tap discharge water evenly in a jet at a velocity of 2.6 m/s at the tap outlet, the diameter of the jet at this point being 15 mm. the jet flows down vertically in a smooth stream. determine the velocity and the diameter of the jet …
  5. Math

    Water spraying from a large fountain follows a path modelled by the function h(d) = sa001-1.jpgd2 + 4d, for h ³ 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the fountain …
  6. Math

    Water spraying from a large fountain follows a path modeled by the function h(d) = -2/3d^2+ 4d, for h > 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the fountain …
  7. physics

    A jellyfish can propel itself with jets of water pushed out of its bell, a flexible structure on top of its body. The elastic bell and the water it contains function as a mass-spring system, greatly increasing efficiency. Normally, …
  8. science

    A jellyfish can propel itself with jets of water pushed out of its bell, a flexible structure on top of its body. The elastic bell and the water it contains function as a mass-spring system, greatly increasing efficiency. Normally, …
  9. science

    A jellyfish can propel itself with jets of water pushed out of its bell, a flexible structure on top of its body. The elastic bell and the water it contains function as a mass-spring system, greatly increasing efficiency. Normally, …
  10. science

    A jellyfish can propel itself with jets of water pushed out of its bell, a flexible structure on top of its body. The elastic bell and the water it contains function as a mass-spring system, greatly increasing efficiency. Normally, …

More Similar Questions