This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Okay, wild, let's solve this ramp problem. A wheelchair ramp is placed over a set of stairs so that one end is 2 feet off the ground. The other end is at a point that is a horizontal distance of 28 feet away, as shown in the diagram. What is the angle of elevation to the nearest degree? Step 1: Identify the known values from the diagram and problem description. The height of the ramp (opposite side to the angle of elevation) is 2 ft. The horizontal distance of the ramp (adjacent side to the angle of elevation) is 28 ft. We need to find the angle of elevation, . Step 2: Choose the appropriate trigonometric ratio. Since we have the opposite side and the adjacent side relative to the angle , we use the tangent function: () = oppositeadjacent Step 3: Substitute the known values into the formula. () = (2)/(28) () = (1)/(14) Step 4: Solve for using the inverse tangent function. = ((1)/(14)) Step 5: Calculate the value and round to the nearest degree. Using a calculator: ≈ 4.085^ Rounding to the nearest degree: ≈ 4^ The angle of elevation to the nearest degree is 4^. Last free one today — make it count tomorrow, or type /upgrade for unlimited.