Answer:
115m
Explanation:
Given
In TriangleXYZ
XZ = 23m
ZY = 19m
In TriangleXVW
WV = 95m
Solution
In Triangles XYZ and XVW
AngleWXV = AngleYXZ as they are Vertically Opposite Angles
AngleXWV = AngleXZY as they are Alternate Angles
Therefore TriangleXYZ and TriangleXVW are Similar Triangles
So,
XY/XV = YZ/VW = XZ/XW as they are Corresponding Sides of Similar Triangles
So,
XZ/XW = YZ/VW
or
23/XW = 19/95
23/XW = 1/5
XW = 23 × 5
XW = 115m
Therefore the distance WX is 115m