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http://prntscr.com/lx4vk7

 Dec 19, 2018
 #1
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+2

Triangle DBC is  a 3-4-5  right triangle

 

So  BC = 5

 

And AB = 20 - 5   =  15

 

So....since BDis parallel to AE.......we have this relationship

 

BC/ AB = CD/DE

 

5/15 = 4/DE

 

15/5 = DE /4

 

3 = DE/4   multiply both sides by 4

 

12 = DE

 

So 

 

EC = ED + DC  =  12 + 4  = 16

 

And by the Pythagorean Theorem,

 

AE = sqrt [ AC^2 - EC^2 ]  =  sqrt [ 20^2 - 16^2 ] =  sqrt [ 400 - 144] = sqrt [ 256] =  16 ft

 

 

cool cool cool

 Dec 19, 2018
 #2
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+2

Thankyou!!

 Dec 19, 2018

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