1. **State the problem:** We have a right triangle with hypotenuse $66$ ft, base $58$ ft, and height $h$ ft. We need to find the missing height $h$. 2. **Formula used:** In a right triangle, by the Pythagorean theorem, the relationship between the sides is: $$h^2 + 58^2 = 66^2$$ 3. **Calculate squares:** $$58^2 = 3364$$ $$66^2 = 4356$$ 4. **Substitute and solve for $h^2$:** $$h^2 = 4356 - 3364$$ $$h^2 = 992$$ 5. **Find $h$ by taking the square root:** $$h = \sqrt{992}$$ 6. **Simplify the square root:** $$h = \sqrt{16 \times 62} = 4 \sqrt{62}$$ 7. **Calculate the decimal value:** $$h \approx 4 \times 7.874 = 31.5$$ 8. **Round to 2 significant figures:** $$h \approx 31$$ **Final answer:** The missing height $h$ is approximately **31 ft**.