Question

How to find parallelogram height with angles and side length

Answer 1

h = a * sin α

Explanation:

The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C

a and ∠α : known

∠AEB = 90°

a / Sin 90° = h / Sin α .. Sin 90° = 1

h = a * sin α