Math

A standard football field is 100 yards long and 53 1/3 yards wide. A quarterback is standing on the 25 yard line, 25 yards from the left sideline, throws the ball to a receiver who is on the 35 yard line, 5 yards from the right sideline, as shown in the figure.

(a) How long was the pass? [Hint: Place the field in the first quadrant of the coordinate plane, with the left sideline on the y-axis and the goal line behind the quarterback on the x-axis. What are the coordinates of the quarterback and the receiver?] (Round your answer to one decimal place.)

(b) A player is standing halfway between the quarterback and the receiver. What are his coordinates? (Round each answer to one decimal place.:

asked by Connor
  1. The receiver is 10 yd downfield and 53 1/3 - 25 - 5 = 23 1/3 yds to the right.

    So, the distance is clearly

    √(10^2 + (70/3)^2) yds

    QB: (25,25)
    Rcvr: (35,48 1/3)

    So, take their averages to find the midpoint.

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A tennis court is 6 yards wide and 10 yards long. A football field is 60 yards wide and 110 yards long. How many tennis courts fit onto the football field?
  2. 8th Grade Math

    Can you please check my answer? An American football field is a rectangle 120 yards long (including both end zones) and 53 1/3 yards wide. What is the area of an American football field? my answer: 6360 square yards
  3. math

    A football field is 120 yards long and 53 yards wide. How much fencing is needed to enclose the field?
  4. math

    A football field is 72 yardsyards long and 46 yards wide what is the area of the field in squ are yards
  5. geometry

    A football field is 130 yards long and 70 yards wide. If sod costs $0.80 per square foot to lay, how much will the owners have to pay for sodding the entire field?
  6. Algebra

    As part of their half time show, the members of the band must walk diagonally from one corner of the football field to opposite corner. If the field is 100 yards long and 35 yards wide, how far must the band member's march?
  7. math

    The football field is 60 yards by 100 yards.Is the length of the diagonal across this field more or less than 200 yards?
  8. Calculus

    A man has 340 yards of fencing for enclosing two separate fields, one of which is to be a rectangle twice as long as it is wide, and the other, a square. The square field must contain at least 100 square yards and the rectangular
  9. math

    Question: A football team lost 9 yards on its first play. On the next two plays they gained 3 yards and then 6 yards. A. What expression can be written to represent how many yards the football team is from where it started?
  10. 8th grade math

    What is the area.in square yards of a rectangular Field that is 25 yards long and 20 yards wide.

More Similar Questions