Предмет: Геометрия, автор: AikoshaSadu

Катер прошел в направлении к северо-западу 2 км, а потом, повернув на север, - еще 1 км. Выберите масштаб, постройте вектор перемещения и найдите его длину.

Ответы

Автор ответа: Аноним

Длину вектора перемещения можно найти по теореме косинусов. Угол между векторами (на северо-запад и на север) составляет 135⁰, cos135⁰=-√2/2

$sqrt{2^2+1^2-2cdot2cdot1cdot(-frac{sqrt2}{2})}=sqrt{5+2sqrt2}approx2,8$ км

Как "Лучшее решение" не забудь отметить, ОК?!.. ;)))

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