Question

American Football: A quarterback throws a pass from the 12-yard line, 11 yards from the sideline. A wide receiver catches the pass on the 34-yard line, 40 yards from the same sideline. How long is the pass?

Answer 1

36.4 yards

Explanation:

The coordinates of origin is (12, 11) while coordinates of final landing is (34, 40)

Considering two points, x1, y1 and x2, y2, the distance between them is given by

`d=\sqrt {(x2-x1)^(2)+(y2-y1)^(2)}`

Similarly, the distance between these two given points will be

`d=\sqrt {(34-12)^(2)+(40-11)^(2)}\\d=36.4005494464026\approx 36.4 yd`

Therefore, the distance is 36.4 yards