# Math

posted by Connor

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.:

1. Steve

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.

## 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. ### Math

A quarterback takes the ball from the line of scrimmage, runs backwards for 5.0 yards, then runs sideways parallel to the line of scrimmage for 13.0 yards. At this point, he throws a 40.0 yard forward pass straight downfield, perpendicular …
3. ### Physics!

A quarterback takes the ball from the line of scrimmage, runs backward for 10 yards, and then runs sideways parallel to the line of scrimmage for 4 yards. At this point, he throws a 32 yard forward pass straight down the field. What …
4. ### Physics

A quarterback takes the ball from the line of scrimmage, runs backward for 8 yards, and then runs sideways parallel to the line of scrimmage for 5 yards. At this point, he throws a 49 yard forward pass straight down the field. What …

The quarterback throws a pass from 10 yards from a goal line and 25 yards from a sideline. A receiver catches the pass at 40 yards from the same goal line and 5 yards from the same sideline. How long was the pass?
6. ### geometry

For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. There are two parallel sidelines on each side of the field. If the 50 yard line is perpendicular to one of the sidelines, what …
7. ### physics

A quarterback takes the ball from the line of scrimmage, runs backward for 18.0 yards, then runs sideways parallel to the line of scrimmage for 16.0 yards. At this point, he throws a 49.0-yard forward pass straight down the field. …
8. ### science

A Football is thrown by a quarterback to a receiver. When the quarterback throws it, the ball is at the height of 6 feet above the ground. When the receiver catches it, he is 30 yards away from the quarterback and the ball is again …
9. ### Physics

A quarterback takes the ball from the line of scrimmage, runs backward for 19.0 yards, then runs sideways parallel to the line of scrimmage for 12.0 yards. At this point, he throws a 43.0-yard forward pass straight down the ﬁeld. …
10. ### math

In a football game, a quarterback throws a pass from the 5 yard line (10 yards from the sideline). The pass is caught by on the 45 yard line (40 yards from the same sideline). How long was the pass in yards?

More Similar Questions