Final answer:
The length of the other leg of the right triangle is approximately 26.2 feet.
Step-by-step explanation:
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. In this case, we have one leg with a length of 20 feet and a hypotenuse with a length of 33 feet. Let's denote the length of the other leg as x. We can set up the equation:
20² + x² = 33²
Now, we can solve for x by rearranging the equation:
x² = 33² - 20²
x² = 1089 - 400
x² = 689
x ≈ 26.2
Therefore, the length of the other leg is approximately 26.2 feet.