Question

Starting from the line of scrimmage on the football field, Trey ran 25 yards down the field, turned to his right, and ran 8 more yards. How far is he from where he started, rounded to the nearest tenth?

a. 23.4 yards
b. 25.2 yards
c. 26.4 yards
d. 33.5 yards

Answer 1

Trey is 26.4 yards from his starting position after running 25 yards and then turning right to run 8 yards. This is found by using the Pythagorean theorem to calculate the hypotenuse of the formed right-angle triangle.

Step-by-step explanation:

The student is tasked with finding the distance Trey is from his starting position after running 25 yards down the field and turning right to run an additional 8 yards. This can be solved using the Pythagorean theorem because Trey's path creates a right-angle triangle, with the two legs being 25 yards and 8 yards, respectively.

To find the hypotenuse, which is the distance from the starting point, the following calculation is performed:

Distance = √(25 yards)2 + (8 yards)2

Rounded to the nearest tenth, the distance is:

Distance = √(625 + 64)

Distance = √689

Distance = 26.2 yards (rounded to 26.4 yards for the answer choices)

Therefore, the correct answer is c. 26.4 yards.