1. ВН – height (drawn to the base of AD).
2. The height BH is the side of the rectangle BCDH, the opposite sides of which are equal:
ВH = СD = 2√3 units of measurement. BC = DH = 2 units.
3. Segment АН = АD – DH = 4 – 2 = 2 units of measurement.
4. Calculate the tangent ∠A of the right-angled triangle ABN, in which BH and AH are legs.
BH: AH = tangent ∠A.
Tangent ∠A = 2√3: 2 = √3. An angle whose tangent is √3 is 60 °.
∠А = 60 °.
Answer: ∠А is equal to 60 °.
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