Verified Answer :

root (16)²-6²=14.83
the answer is 14.83

Answer:

(C) 14.83

Step-by-step explanation:

From the given figure, we have

\(DF=6, FE=16 and {\angle}D=90^{\circ}\)

Now, using the Pythagoras theorem, we get

\((FE)^2=(DE)^2+(DF)^2\)

Substituting the given values, we get

\((16)^2=(DE)^2+(6)^2\)

\(256=(DE)^2+36\)

\(220=(DE)^2\)

\(14.83=DE\)

Therefore, the value of DE is 14.83.

Hence, option C is correct.