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Question: Mt Everest is at a height of 8850m. Its base is at an elevation of 5400m. The temperature here drops...

Mt Everest is at a height of 8850m. Its base is at an elevation of 5400m. The temperature here drops at the rate of 1 degree per 100 meters. If the temperature at the base is 5C- 5^\circ C , what is the temperature at the top?
A. 40C- 40^\circ C
B. 39.5C- 39.5^\circ C
C. 40.5C- 40.5^\circ C
D. 39C- 39^\circ C

Explanation

Solution

The height of the Mt Everest from the base can be found by using the total height and the base height. As the rate of temperature drop is given, by subtracting the temperature drop from the temperature at the base, the temperature at the top can be obtained.

Complete step by step answer:
According to the given data,
Height of the Mt Everest = 8850m
Height of the base = 5400m

Height of Mt Everest from the base = 8850 – 5400 = 3450m
The temperature drops at a rate of 1 degree per 100 meters. For 3450m, the temperature drop will be
\Rightarrow Temperature drop = 3450100\dfrac{{3450}}{{100}}
\Rightarrow Temperature drop = 34.5C34.5^\circ C
It is given that the temperature at the base is 5C- 5^\circ C . Hence the temperature at the top of the Mt Everest will be,
\Rightarrow The temperature at the top = 5C34.5C- 5^\circ C - 34.5^\circ C
\Rightarrow The temperature at the top = 39.5C- 39.5^\circ C
\therefore The temperature at the top of the Mt Everest will be 39.5C- 39.5^\circ C

So, the correct answer is “Option B”.

Note: While calculating the temperature drop, the height of Mt Everest from the base should only be considered instead of the total height. Because in the given data we have the temperature at the base.