1) The maintenance crew is doing some work on the arch. The work will be done on the right side of the arch. In order to bring the equipment up the maintenance crew has constructed a temporary ramp from the ground on left side of the arch to the level where the work will be done on the right side. The ramp has a constant rate of rise of 1:5, which means 1 ft. up for every 5 ft. forward.
The Gateway arch is the tallest man-made monument found in the United States in St. Louis Missouri. The gateway arch, which can be closely approximated by a parabola, is 630 feet high and 630 feet across at the base.
To find the length of the temporary ramp that the maintenance crew constructed, we can use the concept of slope or rise over run. In this case, the slope of the ramp is given as 1:5, which means that for every 1 foot of vertical rise, there is 5 feet of horizontal distance covered.
Since the Gateway arch is closely approximated by a parabola, we can consider the ramp as a linear approximation. Therefore, we can calculate the length of the ramp by determining the horizontal distance covered.
Given that the arch is 630 feet across at the base, we'll take half of this distance to account for the right side where the work will be done. So, the horizontal distance on the right side is 630/2 = 315 feet.
To determine the vertical rise, we divide the horizontal distance covered by the slope. Therefore, the rise will be (315/5) = 63 feet.
Hence, the length of the temporary ramp constructed by the maintenance crew is 63 feet.
The maintenance crew is constructing a temporary ramp to bring equipment up the right side of the Gateway Arch in St. Louis, Missouri. The ramp has a constant rate of rise of 1:5, which means that for every 5 feet forward, it rises 1 foot.
The Gateway Arch is the tallest man-made monument in the United States, standing at a height of 630 feet. It is also 630 feet across at the base and can be closely approximated by a parabola.