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lapo4ka [179]
3 years ago
15

Um navio partiu do porto A, percorreu 70 milhas para o sul e atingiu o porto B. Em seguida percorreu 30 milhas para leste e atin

giu o porto C. Finalmente, navegou 110 milhas para o norte, ancorando no porto D. Quantas milhas teria poupado se navegasse em linha reta do porto A diretamente para o porto D?
120 milhas

130 milhas

140 milhas

150 milhas

160 milhas
Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:

A distância do porto A ao porto D pode ser calculada com auxílio do teorema de Pitágoras, pois o triângulo retângulo que se pode obter traçando-se uma paralela à trajetória do porto B ao porto C passando pelo ponto A tem as seguintes medidas

catetos 30 e 40 sendo que a hipotenusa é a distãncia de A até D:

Step-by-step explanation:

resolvendo:

(AD)^{2} = 30^{2} +40^{2}(AD)^{2}  = 900 + 1600(AD)^{2}  =  2500AD = \sqrt{2500} AD = 50 milihasLogo, pelo caminho percorrido completou 70+30+110= 210 milhasTeria economizado, então, 210 - 50 = 160 milhas

Logo, pelo caminho percorrido completou 70+30+110= 210 milhas

Teria economizado, então, 210 - 50 = 160 milhas

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