To find out the altitude gain over a mile, we use the proportion of 200 feet (altitude gain) per 1,000 feet (horizontal distance). Multiplying the altitude gain ratio by the number of feet in one mile (5,280), we find that the airplane would gain 1,056 feet in altitude over a horizontal distance of 1 mile.
The student is asking how much altitude an airplane gains if it flies a horizontal distance of 1 mile, given that it ascends 200 feet for every 1,000 feet of horizontal distance covered. Since there are 5,280 feet in one mile, we can set up a proportion to find the altitude gain:
200 feet altitude / 1,000 feet horizontal = x feet altitude / 5,280 feet horizontal
Cross-multiplying to solve for 'x' gives us:
200 feet * 5,280 feet = x feet * 1,000 feet
x = (200 * 5,280) / 1,000
x = 1,056 feet altitude gain
Therefore, the altitude gained by the airplane over a horizontal distance of 1 mile would be 1,056 feet.
The complete question is-An airplane ascends 200 feet as it flies a horizontal distance of 1,000 feet. How much altitude is gained as it flies a horizontal distance of 1 mile? (Hint: 1 mile = 5,280 feet.)
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