What is the change in Fahrenheit if an aircraft ascends from 5,000 feet to 10,000 feet where the temperature drops at a constant rate of 3°C per 1,000 feet?

To determine the change in Fahrenheit when an aircraft ascends from 5,000 feet to 10,000 feet with a temperature drop of 3°C per 1,000 feet, we first need to calculate the total temperature drop in Celsius for the altitude change.

The ascent from 5,000 feet to 10,000 feet is an increase of 5,000 feet. Since the temperature drops at a rate of 3°C for every 1,000 feet, we calculate the total temperature drop as follows:

1. Calculate the number of thousands of feet ascended:

[

\frac{5,000 \text{ feet}}{1,000 \text{ feet}} = 5

]

2. Calculate the total temperature drop in Celsius:

[

3°C \times 5 = 15°C

]

This means there is a temperature drop of 15°C during the ascent.

To convert this temperature change from Celsius to Fahrenheit, we use the conversion formula:

[

°F = (°C \times \frac{9}{5}) + 32

]

However, since we are only interested in the change, we can simplify the conversion by using