Charter flying service

Henry and Wayne operate a charter flying service out of Breckenridge, which has an elevation of 9,600 feet above sea level.

Henry has two flights scheduled for the day. He is taking a couple from Breckenridge to Hamilton, which has a 35% elevation drop. At Hamilton, he is picking up three businessmen and taking them to Denver, which has a 15% elevation drop from Hamilton. This puts them at an elevation of what, feet above sea level?

Correct answer:

h₃ =  5304 ft

Step-by-step explanation:

$$\begin{gathered} h_1=9600\text{ft} \\ {r}_1=100\%-35\%=1-\frac{35}{100}=0.65 \\ {r}_2=100\%-15\%=1-\frac{15}{100}=0.85 \\ {h}_2=r_1\cdot h_1=0.65\cdot 9600=6240\text{ft} \\ {h}_3=r_2\cdot h_2=0.85\cdot 6240=5304\text{ft} \end{gathered}$$

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