The value of cos E is
. The correct option is A. 
<h3>Trigonometry </h3>
From the question, we are to determine the value of cos E
From the given information, we have

By SOH CAH TOA
Opposite = 24
Hypotenuse = 25
Thus, considering the diagram
/EF/ = 24
and
/DE/ = 25
By SOH CAH TOA

∴ 
Hence, the value of cos E is
. The correct option is A. 
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