Final answer:
To find the direct distance from point A to point C, use the Pythagorean theorem. The distance from A to C is approximately 29.15 yards. If Pete walked from A to B to C, he would walk a total distance of 40 yards. By taking the direct path from A to C, Pete would save a distance represented by the inequality w < 40 yards.
Step-by-step explanation:
The direct distance from point A to point C can be found using the Pythagorean theorem. The theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the distance between point A and point B is 15 yards, and the distance between point B and point C is 25 yards. Using the Pythagorean theorem, we can calculate the direct distance from point A to point C as follows:
AC = √(AB^2 + BC^2)
AC = √(15^2 + 25^2)
AC = √(225 + 625)
AC = √850
AC ≈ 29.15 yards
Thus, the direct distance from point A to point C is approximately 29.15 yards. If Pete walked from point A to point B to point C, the total distance he would walk can be found by adding the distances AB and BC:
Total distance = AB + BC = 15 + 25 = 40 yards
Therefore, Pete would walk 40 yards if he went from point A to point B to point C.