In triangle ABC, angle C is straight line, CH is height, AB = 25, sinA = 4/5. Find AH.

There may be a simpler solution, but I only considered this method:
Sinus is the ratio of the opposite leg to the hypotenuse. Which we will use throughout the entire task
SinA = BC / AB
4/5 = BC / 25
BC = 20
AC is found by the Pythagorean theorem = 15
SinA = CH / AC
CH / 15 = 4/5
CH = 12
By the Pythagorean theorem, we find AН = 9

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