Answered

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

37 10 X 53 У Find The Value Of X To The Nearest Tenth class=

Sagot :

sqdancefan

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

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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

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Additional comment

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.

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

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