1. **State the problem:** We have three people: Brody, Darrell, and Sandra. Darrell is directly behind Brody and directly left of Sandra. 2. **Given:** - Distance between Brody and Darrell is 4 meters. - Distance between Sandra and Brody is 5 meters. 3. **Goal:** Find the distance between Darrell and Sandra. 4. **Visualize the problem:** Since Darrell is directly behind Brody and directly left of Sandra, the points form a right triangle where: - One leg (Brody to Darrell) = 4 meters - Hypotenuse (Brody to Sandra) = 5 meters - The other leg (Darrell to Sandra) = ? 5. **Use the Pythagorean theorem:** $$a^2 + b^2 = c^2$$ where $c$ is the hypotenuse. 6. **Assign values:** Let $a = 4$ (Brody to Darrell), $c = 5$ (Brody to Sandra), and $b$ be the distance between Darrell and Sandra. 7. **Calculate $b$:** $$4^2 + b^2 = 5^2$$ $$16 + b^2 = 25$$ $$b^2 = 25 - 16$$ $$b^2 = 9$$ $$b = \sqrt{9} = 3$$ 8. **Answer:** The distance between Darrell and Sandra is 3 meters.