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.