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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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  2. campbell_st
    • one year ago
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    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

  3. anonymous
    • one year ago
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    thanks

  4. anonymous
    • one year ago
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    but i need it to be more detailed

  5. anonymous
    • one year ago
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    @jdoe0001 can you help me

  6. campbell_st
    • one year ago
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    so what detail do you need...?

  7. anonymous
    • one year ago
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    what was the last question you asked about?

  8. campbell_st
    • one year ago
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    so in this right triangle question... you need to identify the trig ratio that uses opposite and adjacent sides...

  9. anonymous
    • one year ago
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    okay

  10. anonymous
    • one year ago
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    then..?

  11. campbell_st
    • one year ago
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    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

  12. anonymous
    • one year ago
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    yes i know it that :) i use it too so i need to identify which one to use

  13. anonymous
    • one year ago
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    ?

  14. campbell_st
    • one year ago
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    so which of the 3 trig ratios uses the opposite and adjacent side...?

  15. anonymous
    • one year ago
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    sine

  16. campbell_st
    • one year ago
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    nope... use the mnemonic... sine = opp/hyp SOH

  17. anonymous
    • one year ago
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    okay so we can say that in this we use the SOH to identify the distance between sun and earth?

  18. campbell_st
    • one year ago
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    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..?

  19. anonymous
    • one year ago
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    tangent

  20. anonymous
    • one year ago
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    tangent= opposite/adjacent

  21. campbell_st
    • one year ago
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    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

  22. anonymous
    • one year ago
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    what do you mean by the subject of the equation?

  23. campbell_st
    • one year ago
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    well ES is in the denominator of the fraction you need to rewrite the equation with ES = something

  24. anonymous
    • one year ago
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    sorry but im confused

  25. campbell_st
    • one year ago
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    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

  26. anonymous
    • one year ago
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    okay thanks is that all?

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