Question

A football is thrown by a quarterback to a receiver. The points in the figure show the height of the​ football, in​ feet, above the ground in terms of its​ distance, in​ yards, from the quarterback. Use this information to solve the problem. Find the coordinates of point B.

Answer 1

Coordinates of the point B will be (14, 3.5).

Explanation:

From the graph attached,

Distance between the Quarterback and Receiver = x-coordinate of the point B = 14 yards

Similarly, height of the football from the ground at point B = y-coordinate of the point B = 9 +
`(12-9)/(2)`

= 9 + 1.5

= 10.5 feet

Since, 1 feet =
`(1)/(3)` yards

10.5 feet =
`(10.5)/(3)`

= 3.5 yards

Therefore, coordinates of the point B will be (14, 3.5).