anonymous
  • anonymous
A shooting star forms a right triangle with the Earth and the Sun, as shown below: A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x degrees and the side between the Earth and the Shooting Star is labeled y. A scientist measures the angle x and the distance y between the Earth and the shooting star. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Earth and the Sun.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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campbell_st
  • campbell_st
you have a right triangle so you can find the distance using a trig ratio... y represents the opposite side the distance between earth and the sun would be the adjacent side... so which ratio..? hope it helps
anonymous
  • anonymous
thanks

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anonymous
  • anonymous
but i need it to be more detailed
anonymous
  • anonymous
@jdoe0001 can you help me
campbell_st
  • campbell_st
so what detail do you need...?
anonymous
  • anonymous
what was the last question you asked about?
campbell_st
  • campbell_st
so in this right triangle question... you need to identify the trig ratio that uses opposite and adjacent sides...
anonymous
  • anonymous
okay
anonymous
  • anonymous
then..?
campbell_st
  • campbell_st
well that's for you to answer... its a fundamental for success in trigonometry to know the 3 basic ratios... and what sides they need... some people use SOHCAHTOA to help remind them
anonymous
  • anonymous
yes i know it that :) i use it too so i need to identify which one to use
anonymous
  • anonymous
?
campbell_st
  • campbell_st
so which of the 3 trig ratios uses the opposite and adjacent side...?
anonymous
  • anonymous
sine
campbell_st
  • campbell_st
nope... use the mnemonic... sine = opp/hyp SOH
anonymous
  • anonymous
okay so we can say that in this we use the SOH to identify the distance between sun and earth?
campbell_st
  • campbell_st
no.... you don't have a measurement on the hypotenuse... so you can't use any ratio that uses the hypotenuse sin= opp/hyp and cos = adj/hyp so which ratio is left..?
anonymous
  • anonymous
tangent
anonymous
  • anonymous
tangent= opposite/adjacent
campbell_st
  • campbell_st
great so label the distance from earth to the sun ES then using the tan ratio you can say \[\tan(x) = \frac{y}{ES}\] then make ES the subject of the equation. hope it helps
anonymous
  • anonymous
what do you mean by the subject of the equation?
campbell_st
  • campbell_st
well ES is in the denominator of the fraction you need to rewrite the equation with ES = something
anonymous
  • anonymous
sorry but im confused
campbell_st
  • campbell_st
ok... your goal is to find the distance from the Earth to the Sun when you write the tan ratio you get \[\tan(x) = \frac{y}{ES}\] you need to manipulate the equation, so that its in the form ES = something that uses tan(x) and y
anonymous
  • anonymous
okay thanks is that all?

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