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Math·Geometry and Trigonometry·Right triangles and trigonometry

easy

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$, and angles $C$ and $F$ are right angles. If $\cos B=\frac{1}{24}$, what is the value of $\cos E$?

A

$\frac{1}{24}$

B

$\frac{1}{25}$

C

$\frac{23}{24}$

D

$\frac{24}{25}$