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anonymous

  • one year ago

A shooting star forms a right triangle with the Earth and the Sun, as shown below: A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Earth and the shooting star.

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  1. anonymous
    • one year ago
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  2. Nnesha
    • one year ago
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    trig ratios ?

  3. anonymous
    • one year ago
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    I was thinking to use tangent ?

  4. Nnesha
    • one year ago
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    \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\] thats what you need to find distance

  5. anonymous
    • one year ago
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    you can not find the distance. you don't know the values of x and y.

  6. Nnesha
    • one year ago
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    to find length of missing side you should know one angle and one side

  7. Nnesha
    • one year ago
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    the question is `how the scientist can use only these two measurements` so we don't have to know the value of x and y

  8. Nnesha
    • one year ago
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    so which ratio would u use to find distance between the earth and shooting star?

  9. anonymous
    • one year ago
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    sinθ

  10. Nnesha
    • one year ago
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    ..

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