A ramp $13 \mathrm{ft}$ long rises to a platform that is $11 \mathrm{ft}$ off the ground. Find $x$, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree. Espafiol

Step 1 ：The problem is asking for the angle of elevation of the ramp. This is a trigonometry problem, and we can use the sine function to solve it. The sine of an angle in a right triangle is defined as the length of the opposite side divided by the length of the hypotenuse. In this case, the opposite side is the height of the platform (11 ft) and the hypotenuse is the length of the ramp (13 ft).

Step 2 ：We can set up the equation \(\sin(x) = \frac{11}{13}\) and solve for x.

Step 3 ：Calculate the sine of x: \(\sin(x) = \frac{11}{13} = 0.8461538461538461\)

Step 4 ：Convert the sine of x to radians: \(x_{rad} = \arcsin(0.8461538461538461) = 1.0087265237892693\)

Step 5 ：Convert radians to degrees: \(x_{deg} = \frac{180}{\pi} \times 1.0087265237892693 = 57.795772496027965\)

Step 6 ：Round the degree to the nearest tenth: \(x_{deg_{rounded}} = 57.8\)

Step 7 ：Final Answer: The angle of elevation of the ramp is \(\boxed{57.8}\) degrees.