A scientist measures the angle x and the distance y between the Earth and the moon. Using complete sentences, explain how the sc ientist can use only these two measurements to calculate the distance between the Earth and the Sun.
2 answers:
tan =opposite/adjacent
In this case: tan =X , opposite=Y and adjacent= D
tan(x)=Y(opposite) /D(adjacent)
All terms in the equation are known except for 'D the distance'.
So the distance between the earth and the sun indicate by the symbol 'D' is equal to: y/tan(x)
Let the distance between the earth and the sun be denoted as 'z'.From the trigonometric rules: tan(theta)=opposite/adjacentIn this case: theta=x , opposite=y and adjacent=z tan(x)=y/z All terms in the equation are known except for 'z'. therefore the distance between the earth and the sun denoted by the symbol 'z' is equal to: y/tanx
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