trig

posted by .

The cross section of a television antenna dish is a parabola. A dish has a receiver that is located at the focus, 4 ft. above the vertex.

Find the equation. (which I did) -- x^2 = 8y

If the dish is 8 feet wide, how deep is it?

  • trig -

    so x = +/- 4 if 8 wide
    what is y ?
    16 = 8 y
    y = 2

  • trig -

    Wow. Do I just substitute x with 8, and then solve to get y=5?

  • trig -

    Oops nevermind, sorry.

  • trig -

    No, x is half the width.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math, Please Help!!!

    an engineer designs a satellite dish with a parabolic cross section. The dish is 15 ft wide at the opening and the focus is placed 4 ft from the vertex. find an equation of the parabola. I know how to work this problem, but how do …
  2. Please Help!!!!!!

    an engineer designs a satellite dish with a parabolic cross section. The dish is 15 ft wide at the opening and the focus is placed 4 ft from the vertex. find an equation of the parabola. I know how to work this problem, but how do …
  3. physics please help!!

    A satellite dish is designed to pick up radio waves from geostationary satellites about 36000 km about the Earth's surface. If the dish's surface is a part of a sphere of radius R, where should the receiver be placed compared to the …
  4. algebra

    A satellite dish has a parabolic cross section and is 6 ft deep. The focus is 4 ft from the vertex. Find the width of the satellite dish at the opening. Round your answer to the nearest foot. Thank you
  5. Math story problem

    A satellite dish is shaped like a paraboloid of revolution. the signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 14ft across at …
  6. math

    Satellite dish antennas have the shape of a parabola. Consider a satellite dish that is 80 cm across. Its cross-sectional shape can be described by the function d(x) = 0.0125x^2 - x, where d is the depth, in centimetres, of the dish …
  7. Algebra

    An engineer designs a satellite dish with a parabolic cross section. The dish is 14 ft wide at the​ opening, and the focus is placed 4 ft from the vertex. ​a) Position a coordinate system with the origin at the vertex and the​ …
  8. Algebra

    An engineer designs a satellite dish with a parabolic cross section. The dish is 10 ft wide at the​ opening, and the focus is placed 8 ft from the vertex. ​a) Position a coordinate system with the origin at the vertex and the​ …
  9. Math

    A satellite dish has a diameter of 32 inches and is 6 inches deep. If the antenna needs to be put at the focus of the parabola, where would the parabola be placed?
  10. Algebra

    The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed on the focus of the parabola. If the parabola is 60 inches wide and 30 inches deep, how far from the vertex …

More Similar Questions