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alexgriva [62]
4 years ago
12

Um pequeno avião decola de um aeroporto em um dia nublado e é avistado mais tarde a 215 km de distância, em um curso que faz

um ângulo de 22° a leste do norte. A que distância, respectivamente, a leste e ao norte do aeroporto está o avião no momento em que é avistado?
Physics
2 answers:
zysi [14]4 years ago
6 0

Answer:

distance to the east: 80.539 km

distance to the north: 199.34 km

Explanation:

A right triangle is form where 215 is the hypotenuse (let's call it <em>c</em>), the distance to the north is one leg (let's call it <em>a</em>) and the other one is the distance to the east (let's call it <em>b</em>). The 22° angle is formed between a and c.

From sine definition:

sin α = opposite/hypotenuse = b/c

b = c* sin α = 215 * sin(22°) = 80.539 km

From cosine definition:

cos α = adjacent/hypotenuse = a/c

a = c* cos α = 215 * cos(22°) = 199.34 km

hoa [83]4 years ago
3 0
215 km is the answer
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Answer:

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d.

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