Consider a triangle with corner points A, B and C.
On the interval AB we construct a point P in such a way, that CP is perpendicular to AB.
The triangle has the following properties:
(1) The angle between AC and BC is 90 degrees.
(2) The length of the interval AB is L.
(3) The length of the interval CP is H.
Question 1: Find the angle between CA and AB.
Question 2: Find the length of the interval AP.