Final answer:
To find the slope of the side of the mountain, we calculate the rise and run. Using the formula slope = rise / run, we can find that the slope of the side of the mountain is 0.07575.
Step-by-step explanation:
To find the slope of the side of the mountain, we need to calculate the rise and run. The rise is the height of the mountain, which is 600 feet (1/8 mile). The run is the distance between the halfway point of the tunnel and either end, which is 3/2 miles.
To calculate the slope, we use the formula: slope = rise / run. Substituting the values, slope = (1/8 mile) / (3/2 miles). To simplify the calculation, we convert both the rise and run to feet: slope = 600 feet / (3/2 miles) = 600 feet / (3/2 * 5280 feet) = 600 feet / 7920 feet = 0.07575. Therefore, the slope of the side of the mountain is 0.07575.