Answer:
XA = 66 units.
Explanation:
Given : Triangle XYZ and line XA is an altitude
To find : find XA.
Solution : We have given that Triangle XYZ and line XA is an altitude.
We can see from the triangle
Angle XAY = angle XAZ.
90° = 2x -72 .
On adding sides by 72
90 + 72 = 2x .
162 = 2x .
On dividing by 2 both sides.
81 = x .
Now,
Altitude XA = x -15
XA = 81 - 15 .
XA = 66 .
Therefore, XA = 66 units.