An accessibility ramp slopes upward at an angle of 7.5^circ After traveling a horizontal distance of 80 feet,what is the vertical change? What is the length of the ramp? Draw and label a diagram.Round I answers to nearest foot. Vertical change: __ Length of ramp: __

## Step 1: Diagram and Variable Definition### We draw a right triangle representing the ramp, where the horizontal distance is 80 ft, the angle of elevation is , and we need to find the vertical change (opposite side) and the ramp length (hypotenuse). Let's denote the vertical change as and the ramp length as .## Step 2: Calculating the Vertical Change### We use the tangent function: . Solving for , we get ft.## Step 3: Calculating the Ramp Length### We use the cosine function: . Solving for , we get ft.