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what is the distance from point y to (overline{wx}) in the figure below…

Question

what is the distance from point y to (overline{wx}) in the figure below?
w 16 z 30 x
16(sqrt{2}) 34
a. 16(sqrt{2})
b. 4
c. 16
d. 8
e. cannot be determined
f. 16(sqrt{3})

Explanation:

Step1: Recall the definition of distance from a point to a line

The distance from a point to a line is the length of the perpendicular segment from the point to the line. In the given figure, the perpendicular segment from point $Y$ to $\overleftrightarrow{WX}$ is $YZ$.

Step2: Identify the length of $YZ$

From the figure, we can see that the length of $YZ$ is given as $16$.

Answer:

C. 16