A ladder leans against the side of a house. The angle of elevation of the ladder is $75^{\circ}$ when the bottom of the ladder is $9 \mathrm{ft}$ from the side of the house. How high is the top of the ladder from the ground? Round your answer to the nearest tenth.

Step 1 ：Given that the angle of elevation of the ladder is $75^{\circ}$ and the bottom of the ladder is $9 \mathrm{ft}$ from the side of the house, we can use the tangent of the angle of elevation to find the height of the ladder from the ground. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. Therefore, we can set up the equation as follows: \(\tan(75) = \frac{height}{9}\).

Step 2 ：Solving for height, we get \(height = 9 \times \tan(75)\).

Step 3 ：Calculating the above expression, we find that the height is approximately 33.6 feet.

Step 4 ：Final Answer: The top of the ladder is approximately \(\boxed{33.6}\) feet from the ground.