Denver's elevation is 1 mile 5280 feet. the elevation of Loveland pass , 70 miles west of Denver is 11,990 fret. what is the average slope of the land from danver to Loveland pass ?

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asked Nov 13, 2018 172k views

2 votes

Denver's elevation is 1 mile 5280 feet. the elevation of Loveland pass , 70 miles west of Denver is 11,990 fret. what is the average slope of the land from danver to Loveland pass ?

Mathematics
college

Ravi Hirani asked

by Ravi Hirani

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1 Answer

4 votes

check the picture below.

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 0}} &,&{{ 5280}}~) % (c,d) &&(~{{ 70}} &,&{{ 11990}}~) \end{array} \\\\\\ % slope = m slope = {{ m}}\implies \cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{11990-5280}{70-0}\implies \cfrac{6710}{70}\implies \cfrac{671}{7}$