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KiRa [710]
3 years ago
7

What happens to the opposite and adjacent sides when theta is moved from one acute angle to the other?

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer:

the opposite and adjacent sides should switch places if theta is moved. the hypotenuse will always stay the same.

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Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe
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The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
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