Final answer:
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.