Question

Let us assume that for every $1000$ feet of altitude, the temperature falls $3.5$ F. If the temperature at sea level is $78$ F, what would you expect the temperature to be at $10,000$ feet in C?

• A. $6.11$
• B. $43$
• C. $41$
• D. $7.01$

Answer 1

The correct option is A $6.11$

Temperature at sea level $=$ $78F$
For $1000$ feet of altitude, fall in temperature $=$ $3.5$
Hence, for $10000$ feet of altitude, fall in temperature $=\frac{10000}{1000}\times$3.5 = $35$
Therefore, $T\left(10000Feet\right)$ $=78-35=$ $43F$
Using formula, $T\left(C\right)$ $=$ $\left(T\right(F)-32)$ $\times \frac{5}{9}$
$T\left(C\right)$ $=$ $(43-32)$ $\times \frac{5}{9}$
$T\left(C\right)$ $=6.11$