Question

Vishan’s football coach asks him to run a perfect diagonal path from one corner of the end zone of a football field to the other corner. If the field has the dimensions of 120 yd by 53 yd, how far did he have to run?

Answer 1

Given:

Vishan’s football coach asks him to run a perfect diagonal path from one corner of the end zone of a football field to the other corner. If the field has the dimensions of 120 yd by 53 yd.

Required:

How far did he have to run?

Step-by-step explanation:

`\begin{gathered} \text{ A football field is a rectangle, so a diagonal line creates }2\text{ right triangles} \\ \text{ The formula for the length of the sides of a right triangle is }a^2+b^2=c^2 \\ \text{ For this problem, we know }a\text{ and }b,\text{ so we just have to find }c. \end{gathered}`
`\begin{gathered} 120^2+53^2=c^2 \\ c^2=17209 \\ c=131.18 \end{gathered}`

Answer:

He ran 131.18 yd distance.