Respuesta :

Answer:

By the pythagoras theorem

(10√2)^2 = ZY^2 + 10^2

ZY =  √(200-100)

= 10 answer

Step-by-step explanation:


Answer:

The correct option is:  D. 10

Step-by-step explanation:

According to the given diagram, the distance from point [tex]Y[/tex] to [tex]\overleftrightarrow{WX}[/tex] is [tex]YZ[/tex].

In the right triangle [tex]XYZ[/tex], the given lengths are:  [tex]XY=10\sqrt{2},\ \ XZ=10[/tex]

Using the Pythagorean theorem, we will get......

[tex](XZ)^2+(YZ)^2=(XY)^2\\ \\ (10)^2+(YZ)^2=(10\sqrt{2})^2\\ \\ 100+(YZ)^2=200\\ \\ (YZ)^2=200-100\\ \\ (YZ)^2=100\\ \\ YZ=\sqrt{100}=10[/tex]

So, the distance from point [tex]Y[/tex] to [tex]\overleftrightarrow{WX}[/tex] is 10.