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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.
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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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0I think you need the diagram

misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.0y= Distance between earth and sun Secant x= Distance between moon and sun/y y*secant x= distance between moon and sun

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well you can use a trig ratio... which one would you choose

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1MissSunshine  y = Earth Moon distance

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok well wouldnt i use the equation sin(x) = d/y

misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.0y= Distance between earth and moon Secant x= Distance between moon and sun/y y*secant x= distance between moon and sun

misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.0Plug it in; show us your explanation @Moo_Moo17

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0in 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

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1How's this? tangent (x degrees) = opposite / adjacent tangent (x degrees) = Earth Moon Distance / Earth Sun Distance

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Moo_Moo17  What would you do next?

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1This 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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