Question

If you climbed to the top of Lhotse, you would be approximately 27,940 feet above sea level. Remembering that a mile is 5280 feet, what percentage of the height of the mountain would you have to climb to reach a point two miles above sea level? Round the percentage to one decimal place.

a. 10.6%
b. 13.2%
c. 17.4%
d. 21.1%

Answer 1

To reach a point two miles above sea level from the top of Lhotse, you would need to climb approximately 62.2% of the height of the mountain.

Step-by-step explanation:

To find the percentage of the height of the mountain that you would have to climb to reach a point two miles above sea level, we need to calculate the difference in height between the two points.

One mile is equal to 5280 feet, so two miles would be 10560 feet. Therefore, the difference in height is 10560 feet (two miles) - 27940 feet (height of Lhotse) = -17380 feet.

Since we are looking for the percentage of the height of the mountain that needs to be climbed, we divide the height difference by the height of the mountain and multiply by 100 to get the percentage: -17380 feet / 27940 feet x 100 = -62.17% => 62.2%. However, since we are asked for a positive percentage, we take the absolute value of the negative percentage, which is 62.17, and round it to one decimal place, yielding 62.2%.