Предмет: Геометрия, автор: Nurzhan94

Если площадь треугольника равна 28, площадь проекция плоскости альфа равно 14корень из 2 то найдите угол между плоскостью альфа и треугольником

Ответы

Автор ответа: zvvvvv

Площадь ортогональной проекции многоугольника на плоскость равна площади проектируемого многоугольника, умноженной на косинус угла между плоскостями многоугольника и его проекции, т.е
Sпроекц=Sмногоуг *cosa
14√2=28cosa
cosa =14√2/28
cosa =√2/2
угол а=45 градусов

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