Предмет: Геометрия, автор: 969nizam

Через катет ВС = а равнобедренного прямоугольного треугольника ABC (угол С равен 90°) проведена плоскость а, образующая с плоскостью треугольника угол 30°. Найдите расстояние от вершины А до плоскости а.

Ответы

Автор ответа: dnepr1

Линейный угол двугранного угла образует катет СА, так как плоскость линейного угла должна быть перпендикулярна ребру двугранного угла.
Тогда расстояние от вершины А до плоскости а равно:
Н = а*sin 30° = a/2.

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