Question 1161580
This is only part of a possible path to getting the desired result of finding XY.


Drawing the figure,  Pythagorean Theorem gives EY as  {{{sqrt(146.25)=12.0933866}}}.


Measure of angle XYZ is 90 degrees, a Right Angle.


Use sine of angle EYZ, or use {{{sin(ofangleEYZ)=1.5/sqrt(146.25)}}} to find measure value of this angle.


Angle Measure XYZ,  {{{90-angleofEYZ}}}, which was just found EYZ.


Now you can find angle measure at X.


Now angleas at X, at Y, at E (of the upper triangle) are known, and EY or YE was found earlier.   Law of Sines for finding XY.