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Found in: Page 11

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

Mount Everest, at $${\bf{29}},{\bf{028}}$$feet, is the tallest mountain on the Earth. What is its height in kilometres? (Assume that $${\bf{1}}{\rm{ }}{\bf{kilometre}}$$ equals $${\bf{3}},{\bf{281}}{\rm{ }}{\bf{feet}}$$.)

Conversion is very important in calculation .It make our work easier.

See the step by step solution

Step 1: A concept.

Add the length to the conversion factor to convert a foot measurement to a kilometer measurement.

Converting feet to kilometers.

Consider the given data as below.

Height of Mount Everest is $${H_f} = 29,028{\rm{ }}feet$$

Now, relation between kilometer and foot:

$$1{\rm{ }}km = 3281{\rm{ }}feet$$

Therefore, the height of Mount Everest in kilometre is,

$$1{\rm{ }}feet = {\rm{ }}0.305x{\rm{ }}{10^{ - 3}}{\rm{ }}kilometer$$

Step 2: Calculation:

For the given case

Height of Mount Everest in feet is,

$${H_f} = 29028{\rm{ }}feet$$

So, height of Mount Everest in kilometer is,

$$\begin{array}{c}{H_K} = 0.305 \times {10^{ - 3}} \times 29028\\ = 8.853{\rm{ }}km\end{array}$$

Step 3: Conclusion:

Hence, the height of Mount Everest in km is $$8.853{\rm{ }}km$$.