Where does DEz=8333N(5/15) come from in this calculation?

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boyongo
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Im having trouble understating this:

The last part:

DEz=8333N(5/15) where does this come from?

15m is the height and 5m is the base of the triangle.
 
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  • Truss diagram with top chord points B and D, bottom points A and C, height 15 m, and member DE drawn from D; below it, the force balance and member force calculation for DE, reading DEz = (8333 N)(5 m / 15 m) = 2778 N and DE = 8784 N [tension].
    Screen Shot 2011-11-27 at 2.53.49 PM.png
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Discussion

It's the horizontal component of DE i.e FDEcosθ
where cosθ = Opposite/Adjacent = (15/5)
 

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