Question

Mount Everest in the Himalaya mountain range along the border of Tibet and Nepal reaches upward to a record height of 29,035 feet. How high is Mt. Everest in miles? In Kilometers? In meters?

Answer 1

`\bf \textit{there are 5280ft in 1 mile, so}\quad \begin{array}{ccllll} feet&miles\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 5280&1\\ 29,035&m \end{array}\implies \cfrac{5280}{29035}=\cfrac{1}{m} \\\\\\ m=\cfrac{29035}{5280}\implies m\approx 5.499\\\\ -------------------------------\\\\`


`\bf \textit{there are 1.609 kms in 1 mile, so}\quad \begin{array}{ccllll} miles&kms\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&1.609\\ 5.499&k \end{array} \\\\\\ \cfrac{1}{5.499}=\cfrac{1.609}{k}\implies k=\cfrac{5.499\cdot 1.609}{1}`