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anonymous

  • one year ago

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

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  1. campbell_st
    • one year ago
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    I think you need the diagram

  2. anonymous
    • one year ago
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  3. misssunshinexxoxo
    • one year ago
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    y= Distance between earth and sun Secant x= Distance between moon and sun/y y*secant x= distance between moon and sun

  4. campbell_st
    • one year ago
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    well you can use a trig ratio... which one would you choose

  5. wolf1728
    • one year ago
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    MissSunshine - y = Earth Moon distance

  6. anonymous
    • one year ago
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    oh ok well wouldnt i use the equation sin(x) = d/y

  7. misssunshinexxoxo
    • one year ago
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    y= Distance between earth and moon Secant x= Distance between moon and sun/y y*secant x= distance between moon and sun

  8. misssunshinexxoxo
    • one year ago
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    Of course

  9. misssunshinexxoxo
    • one year ago
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    Plug it in; show us your explanation @Moo_Moo17

  10. campbell_st
    • one year ago
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    in the triangle shown y is the opposite side to angle x and the distance earth to sun is the adjacent side so you have the opposite side, need to find the adjacent side using an angle x which ratio... I wouldn't use secant

  11. wolf1728
    • one year ago
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    How's this? tangent (x degrees) = opposite / adjacent tangent (x degrees) = Earth Moon Distance / Earth Sun Distance

  12. wolf1728
    • one year ago
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    Moo_Moo17 - What would you do next?

  13. wolf1728
    • one year ago
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    This is the last sentence from my previous answer tangent (x degrees) = Earth Moon Distance / Earth Sun Distance So, if you can solve for Earth Sun Distance, that should be the last step in your answer. So, what is the Earth Sun distance?

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