To find out how far David is from his car after walking 26 yards north and 20 yards east, we can use the Pythagorean theorem.
David's movements form a right triangle where:
- The distance he walked north (26 yards) represents one leg of the triangle.
- The distance he walked east (20 yards) represents the other leg of the triangle.
We can denote the distance from his car as \( d \). According to the Pythagorean theorem:
\[ d^2 = (26)^2 + (20)^2 \]
Calculating each term:
\[ (26)^2 = 676 \] \[ (20)^2 = 400 \]
Adding these together:
\[ d^2 = 676 + 400 = 1076 \]
Now, taking the square root to find \( d \):
\[ d = \sqrt{1076} \approx 32.8 \]
Rounding to the nearest tenth, David is approximately 32.8 yards away from his car.