Question

Halley's law states the barometric pressure, p, in inches of mercury at m miles abovesea level can be approximated by the formula:p = 29.92- 819).What is the barometric pressure on top of Pikes Peak, which is 14,115 feet, or about 2.67 miles tall? Round your answer to the nearest hundredth.

Answer 1

Halley's law states that the barometric pressure at a certain altitude can be approximated using a formula. By substituting the given altitude of Pikes Peak into the formula, we can calculate the barometric pressure on top of Pikes Peak as approximately 8.56 inches of mercury.

Step-by-step explanation:

Halley's law states that the barometric pressure, p, in inches of mercury at m miles above sea level can be approximated by the formula: p = 29.92 - 819.

To find the barometric pressure on top of Pikes Peak, which is 14,115 feet or about 2.67 miles tall, we can substitute m = 2.67 into the formula. Thus, p = 29.92 - 8(2.67) = 29.92 - 21.36 = 8.56 inches of mercury.

Therefore, the barometric pressure on top of Pikes Peak is approximately 8.56 inches of mercury.