Answer: 14 units
Step-by-step explanation :To find the length of XW, we can use trigonometric ratios in right-angled triangle XWZ.
First, let’s find the measure of angle Z using the fact that the sum of angles in a triangle is 180°:
∠Z = 180° - ∠XWZ = 180° - 90° = 90°
Now, we can use the tangent ratio to find XW:
tan(∠X) = opposite/adjacent tan(45°) = XW/ZW 1 = XW/ZW
Since ZW is equal to XY (given that ZY is the hypotenuse of right-angled triangle XYZ), we can substitute XY = 14:
1 = XW/14 XW = 14
Therefore, the length of XW is 14 units.