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sqdancefan

The triangles are similar (proof of that is a different question), so the ratio of horizontal side to long side is the same for each.

[tex]\dfrac{5200\,ft}{5600\,ft}=\dfrac{\text{??}}{7000\,ft+5600\,ft}\\\\(12600\,ft)\cdot\dfrac{52}{56}=\text{??}=11700\,ft[/tex]

The distance from A to E is 11,700 feet.

mathmate

First prove that triangles ABD and ACE are similar (AA).

Then using corresponding sides of similar triangles are proportional, we can form the proportionality equation

AE/AC = AD/AB

=> AE/(7000+5600) = 5200/5600

Cross multiply,

AE=5200/5600*(12600)

=11700 feet


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