At the kickoff of a football game the receiver catches the f

At the kickoff of a football game, the receiver catches the football at the left side of the goal line and runs for touchdown diagonally across the field. How many yards would he run? (The football field is 100 yards long and 160 feet wide.

Attention** Please NO attached because it hard for me to download them***** Thank you. write them ONLY Please

Solution

We know that 1 yard = 3 feet. Therefore, 100 yards = 300 feet. The football field is rectangular . If we draw a diagonal (d) , it will divide the rectangle in two equal right angles triangles. The diagonal is the hypotenuse of the right angles triangle. As per the Pythagoras theorem, the square of the hypotenuse = sum of the squares of the other two sides. Therefore, d² = 160² + 300²      = 25600 + 90000 = 115600. Therefore, d = 115600 = 340. Since the receiver catches the ball at the left side of the football field and runs for touchdown diagonally   across the field, he would run 340 feet.