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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 Sun and the shooting star.

A scientist measures the angle x and the distance y between the Earth and the Sun-example-1
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User Anlogg
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1 Answer

4 votes

We know that :


\spadesuit
Cos\theta = (Adjacent Side)/(Hypotenuse)

Here Adjacent Side is BC, which is Distance between the Sun and Earth

Hypotenuse is CA, which is Distance between the Sun and Shooting star


Cosx = (BC)/(CA)

Given : Distance between Earth and Sun (BC) = y


Cosx = (y)/(Distance\;between\;the\;Sun\;and\;Shooting\;Star)


Distance\;between\;the\;Sun\;and\;Shooting\;Star = (y)/(Cosx)

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User Gishara
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