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

Answer:

36.4 yards

Step-by-step 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