Przyjmijmy , że dane są kąty α i β oraz , że IABI=a . znajdz x.
γ=90−β
δ=180−γ = 90+β
y = 180−β−δ = 90−2β
y+z = 180−(α+β)
90−2β+z = 180 −α−β
z = 90 − α+ β = 90−(α−β)
z tr.EBA
| sinz | sinα | ||
= | |||
| AB | BE |
| sin[90−(α−β)] | sinα | ||
= | |||
| a | BE |
| cos(α−β) | sinα | ||
= | |||
| a | BE |
| sinβ | sinδ | ||
= | |||
| x | BE |
| sinβ | sin(90+β) | ||
= | |||
| x | BE |
| sinβ | cosβ | ||
= | |||
| x | BE |