Предмет: Математика, автор: anastasiadob77

Твірна конуса вдвічі довша за висоту. Який кут утворює твірна конуса з площиною основи?​

Ответы

Автор ответа: pakira67
1

Нехай висота конуса дорівнює h, а твірна - 2h.

Розглянемо осьовий переріз конуса. Оскільки твірна вдвічі довша за висоту, то в осьовому перерізі вона утворює із центром основи кут в 60 градусів.

Кут між твірною і площиною основи конуса дорівнює половині кута в осьовому перерізі, тобто 30 градусів.

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