Question

55. Sports In a football game, a quarterback throws apass from the 15-yard line, 10 yards from thesideline, as shown in the figure. The pass is caughton the 40-yard line, 45 yards from the same sideline.How long is the pass?

Answer 1

We have that the distance traveled by the football ball is the hypotenuse of a right triangle whose other legs are 25 yards (40 yard line - 15 yard line) and 35 (45 yard line - 10 yard line), so the distance ir traveled was:

$\begin{gathered} h=\text{ }\sqrt{25^2+35^2}\text{ } \\ h\text{ = }\sqrt{625+1225} \\ h\text{ = }\sqrt{1850}\text{ = 43.01} \end{gathered}$

Which means he traveled around 43 yards