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Unofficialllyy

  • one year ago

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  1. Unofficialllyy
    • one year ago
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    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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  2. Unofficialllyy
    • one year ago
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    @10115658

  3. anonymous
    • one year ago
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    is the earth to sun side adjacent, opposite or the hypotenuse in relation to the angle?

  4. Unofficialllyy
    • one year ago
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    Adjacenet?

  5. anonymous
    • one year ago
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    correct

  6. anonymous
    • one year ago
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    what is the side y?

  7. Unofficialllyy
    • one year ago
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    Opposite

  8. anonymous
    • one year ago
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    thats right

  9. anonymous
    • one year ago
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    so do we use sin, cos or tan?

  10. Unofficialllyy
    • one year ago
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    Tangent

  11. anonymous
    • one year ago
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    good job

  12. anonymous
    • one year ago
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    so how would you find the adjacent side knowing the angle and the opposite side?

  13. Unofficialllyy
    • one year ago
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    I'm not sure :(

  14. anonymous
    • one year ago
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    ok so our equation looks like this so far

  15. anonymous
    • one year ago
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    tan(x) = y/adj

  16. anonymous
    • one year ago
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    how would we get adj by itself?

  17. Unofficialllyy
    • one year ago
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    Multiply?

  18. anonymous
    • one year ago
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    show me the steps

  19. Unofficialllyy
    • one year ago
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    I'm not really sure how to though

  20. Unofficialllyy
    • one year ago
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    I know I learned this I just can't remember.

  21. anonymous
    • one year ago
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    ok

  22. anonymous
    • one year ago
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    This will take 2 steps

  23. anonymous
    • one year ago
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    first you could multiply both sides by adj

  24. Unofficialllyy
    • one year ago
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    Right.

  25. anonymous
    • one year ago
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    (tan(x))(adj) = y

  26. anonymous
    • one year ago
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    what do you think the last step is?

  27. anonymous
    • one year ago
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    think of the left side as tanx times adj

  28. anonymous
    • one year ago
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    what is the opposite of multiplication?

  29. Unofficialllyy
    • one year ago
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    Division

  30. anonymous
    • one year ago
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    correct

  31. anonymous
    • one year ago
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    what would you divide by to get adj by itself?

  32. Unofficialllyy
    • one year ago
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    tan x?

  33. anonymous
    • one year ago
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    that's right

  34. anonymous
    • one year ago
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    so our equation now looks like this

  35. anonymous
    • one year ago
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    adj = y/tanx

  36. anonymous
    • one year ago
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    in words that means. To find the earth to sun side you need to divide the length from the earth to the moon (y) over the value of tan(x).

  37. anonymous
    • one year ago
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    Does that make sense?

  38. Unofficialllyy
    • one year ago
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    Exactly, yes thank you so much. I have one more question that I need help with. Could you help? :)

  39. anonymous
    • one year ago
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    sure, open a new question and tag me

  40. Unofficialllyy
    • one year ago
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    okay!

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spraguer (Moderator)
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