anonymous
  • anonymous
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.
Mathematics
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anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
1 Attachment
Nnesha
  • Nnesha
trig ratios ?
anonymous
  • anonymous
I was thinking to use tangent ?

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Nnesha
  • Nnesha
\[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\] thats what you need to find distance
anonymous
  • anonymous
you can not find the distance. you don't know the values of x and y.
Nnesha
  • Nnesha
to find length of missing side you should know one angle and one side
Nnesha
  • Nnesha
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
Nnesha
  • Nnesha
so which ratio would u use to find distance between the earth and shooting star?
anonymous
  • anonymous
sinθ
Nnesha
  • Nnesha
..

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