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3 years ago

37° 10 X 53° у Find the value of x to the nearest tenth.

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

4 0

9514 1404 393

Answer:

x ≈ 8.0

y ≈ 6.0

Step-by-step explanation:

For x, the relevant trig relation is ..

Sin = Opposite/Hypotenuse

sin(53°) = x/10

x = 10·sin(53°)

x ≈ 8.0

The value of y can be found in the same way using the 37° angle, or the cosine function can be used.

y = 10·sin(37°) ≈ 6.0

y = 10·cos(53°) ≈ 6.0

_____

<em>Additional comment</em>

This question only asks for the value of x. We expect there may be some versions of this question in which the value of y is requested, or in which the positions of x and y are switched. Please compare your question carefully before you copy the answer.

You may notice this is a 3-4-5 triangle with a scale factor of 2.

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