Answer:
<em>The correct option is: D. 10</em>
Step-by-step explanation:
According to the given diagram, the distance from point
to
is
.
In the right triangle
, the given lengths are: ![XY=10\sqrt{2},\ \ XZ=10](https://tex.z-dn.net/?f=XY%3D10%5Csqrt%7B2%7D%2C%5C%20%5C%20XZ%3D10)
Using the Pythagorean theorem, we will get......
![(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](https://tex.z-dn.net/?f=%28XZ%29%5E2%2B%28YZ%29%5E2%3D%28XY%29%5E2%5C%5C%20%5C%5C%20%2810%29%5E2%2B%28YZ%29%5E2%3D%2810%5Csqrt%7B2%7D%29%5E2%5C%5C%20%5C%5C%20100%2B%28YZ%29%5E2%3D200%5C%5C%20%5C%5C%20%28YZ%29%5E2%3D200-100%5C%5C%20%5C%5C%20%28YZ%29%5E2%3D100%5C%5C%20%5C%5C%20YZ%3D%5Csqrt%7B100%7D%3D10)
So, the distance from point
to
is 10.