A3. Trapezoid $A B C D$ has bases of lengths $|A B|=120 \mathrm{~mm}$ and $|C D|=30 \mathrm{~mm}$ and right angles at vertices $B$ and $C$. The diagonals of the trapezoid intersect at point $E$. How many millimeters is point $E$ from side $B C$?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25

![](https://cdn.mathpix.com/cropped/2024_06_07_95af3fbbcea2fb458cf3g-04.jpg?height=337&width=482&top_left_y=1168&top_left_x=1415)