1. **State the problem:** We have a right triangle ABC with a right angle at C. Side AC is 14 ft, side CB is 21 ft, and angle C is 89° (approximately a right angle). We need to find the length of the hypotenuse AB. 2. **Formula used:** In a right triangle, the Pythagorean theorem applies: $$AB^2 = AC^2 + CB^2$$ This means the square of the hypotenuse equals the sum of the squares of the other two sides. 3. **Calculate:** $$AB^2 = 14^2 + 21^2$$ $$AB^2 = 196 + 441$$ $$AB^2 = 637$$ 4. **Find AB by taking the square root:** $$AB = \sqrt{637}$$ 5. **Simplify the square root:** Since 637 is not a perfect square, approximate: $$AB \approx 25.24$$ 6. **Conclusion:** The length of AB is approximately 25 ft. **Answer:** 25 ft