Question

a general rule of thumb used by the pilot is for every 1000 feet of altitude, the temperature falls 3.5 fahrenheit. if the temperature at sea level is 78 fahrenheit, what would you expect the temperature to be at 10,000 feet in degree celsius with proper steps

Answer 1

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Answer 2

Answer:

At the $10,000$ altitude, the temperature measured is $6.1\textdegree C$.

Explanation:

Given,

The height of altitude = $1000 ft.$

The temperature at sea level = $78\textdegree F$

The temperature falls at $1000 ft.$ of altitude = $3.5\textdegree F$

So,

• The temperature falls at $1 ft.$ of altitude = $\frac{3.5\textdegree F}{1000}$ = $0.0035 \textdegree F$

Now,

• The temperature falls at $10,000 ft.$ of altitude = $(0.0035\times 10,000) \textdegree F$ = $35 \textdegree F$.

Now,

• The temperature at the $10,000 ft.$ altitude = temperature at sea level - temperature decrease

Therefore,

• The temperature at the $10,000 ft.$ altitudes = $78\textdegree F$ - $35\textdegree F$ =$43\textdegree F$

Convert °C in °F

• $\textdegree C = [\textdegree F -32] \times \frac{5}{9}$
• $\textdegree C = [43 -32] \times \frac{5}{9}$
• $\textdegree C = [11] \times \frac{5}{9}$
• $\textdegree C = 6.1 \textdegree C$

Hence, the temperature at the 10,000 altitudes = $6.1 \textdegree C$.