08. Lagartixa

08. Lagartixa
Questão 179 – Prova Azul – ENEM PPL 2017
Uma lagartixa está no interior de um quarto e começa a se deslocar. Esse quarto, apresentando o formato de um paralelepípedo retangular, é representado pela figura.[img]data:image/png;base64,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[/img]A lagartixa parte do ponto B e vai até o ponto A. A seguir, de A ela se desloca, pela parede, até o ponto M, que é o ponto médio do segmento EF. Finalmente, pelo teto, ela vai do ponto M até o ponto H. Considere que todos esses deslocamentos foram feitos pelo caminho de menor distância entre os respectivos pontos envolvidos.A projeção ortogonal desses deslocamentos no plano que contém o chão do quarto é dada por:
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Information: 08. Lagartixa