The height should be around 9.19 or 9.2 if you round it up.
(if you need an explanation as to why i would be happy to help as well!)
Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.
The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).
I just had this question.... the answer is $4930 on APEX