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kaheart [24]
3 years ago
9

Um navio esta situado exatamente a 10 milhas a leste de um ponto A. Um observador, situado exatamente a sul do navio, ve o ponto

A sob um angulo de 40°. Qual a distância entre o observador e o navio?
Mathematics
1 answer:
12345 [234]3 years ago
8 0
1) Considerando o ponto A, um vertice; o ponto O  onde o observador está e por ultimo, o ponto N que é onde o navio está.
Com estes 3 pontos formamos um triangulo. 
O angulo OAN vale 40º
O lado AN vale 10 milhas
O que queremos saber é a <span>distância entre o observador e o navio: lado NO
</span>
2) Para isso calculamos a tangente deste angulo: tg 40º= angulo oposto/ angulo adjacente.
angulo oposto é o NO e o lado adjacente ao angulo é o AN que vale 10

Se fores à calculadora vês que tg40º é <span>0,83.
0,83= angulo oposto/ 10
ang oposto= 8,3 milhas
</span>o observador e o navio estao a  8,3 milhas de distancia
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