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anonymous

  • one year ago

Anna is watching a space shuttle launch 6 miles from Cape Canaveral in Florida. When the angle of elevation from her viewpoint to the shuttle is 80 degrees, how high is the shuttle if it is going straight up?

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  1. freckles
    • one year ago
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    |dw:1436226077507:dw|

  2. freckles
    • one year ago
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    you want to find the distance the shuttle has gone up when her angle of elevation us 80 deg

  3. freckles
    • one year ago
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    you are given she is 6 miles away from the shuttle launch

  4. freckles
    • one year ago
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    use the given and the thing you want to find to express a trigonometric equation to solve

  5. freckles
    • one year ago
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    for example you are given the adjacent side to the angle given and you are ask to find the opp site this just screams what trig ratio?

  6. anonymous
    • one year ago
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    I honestly have no idea... I don't even what a trigonometric ratio is

  7. freckles
    • one year ago
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    that is weird so you never heard so sin,cos,tan,csc,sec,cot?

  8. anonymous
    • one year ago
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    I know sin cos and tan

  9. freckles
    • one year ago
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    and do you know that tan(of an angle) is the opposite side of that angle divided by the adjacent side of that angle?

  10. anonymous
    • one year ago
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    yea

  11. freckles
    • one year ago
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    ok so that is the trigonometric ratio you want to use

  12. campbell_st
    • one year ago
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    here is an easy solution if you know tan and sin|dw:1436226242655:dw| use the angle of 10 with the tan ratio

  13. freckles
    • one year ago
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    notice as I said before you are given the adjacent side and looking for the opposite side of the angle 80 deg

  14. anonymous
    • one year ago
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    @campbell_st where did you get 10 from?

  15. freckles
    • one year ago
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    the sum of the angles of a triangle equal 180 deg

  16. freckles
    • one year ago
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    90+80+what=180

  17. anonymous
    • one year ago
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    oh ok i gotcha

  18. anonymous
    • one year ago
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    so would it be 80/10

  19. freckles
    • one year ago
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    no

  20. freckles
    • one year ago
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    sin cos tan are ratios of sides of angle

  21. anonymous
    • one year ago
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    i don't understand this

  22. freckles
    • one year ago
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    tan(80)=(opp SIDE of angle with measurement 80) divided by (adj SIDE of angle with measurement 80)

  23. anonymous
    • one year ago
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    need hlp to

  24. freckles
    • one year ago
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    |dw:1436226787960:dw| \[\tan(80^o)=\frac{\text{ opp side }}{\text{ adj side }} \]|dw:1436226852206:dw| can you identify the sides that are opposite and adjacent ?

  25. anonymous
    • one year ago
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    ..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

  26. anonymous
    • one year ago
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    ..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

  27. anonymous
    • one year ago
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    opposite - 10 ? adjacent - 6 ?

  28. freckles
    • one year ago
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    adjacent is right but how are you getting the opp is 10?

  29. anonymous
    • one year ago
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    is it x

  30. freckles
    • one year ago
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    |dw:1436226982237:dw|

  31. freckles
    • one year ago
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    \[\tan(80^o)=\frac{x}{6}\] great now solve this for x

  32. anonymous
    • one year ago
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    How do i solve for x

  33. freckles
    • one year ago
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    you undo the division there by x do you see that x is being divided by 6?

  34. freckles
    • one year ago
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    try multiplying by 6 on both sides to get x by itself

  35. anonymous
    • one year ago
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    would it be tan80 * 6?

  36. freckles
    • one year ago
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    yes x=6*tan(80) just whip out your calculator and type that in to find what x is

  37. anonymous
    • one year ago
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    34.02

  38. freckles
    • one year ago
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    I would probably round to 34.03 since there is a 7 behind that 2

  39. anonymous
    • one year ago
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    yea sorry about that lol

  40. freckles
    • one year ago
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    you could have used the angle mentioned by campbell too

  41. freckles
    • one year ago
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    the setup would have looked different but should end up with same answer

  42. freckles
    • one year ago
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    \[\tan(10^o)=\frac{6}{x} \\ \frac{1}{\tan(10^o)}=\frac{x}{6} \\ \frac{6}{ \tan(10^o)}=x\]

  43. freckles
    • one year ago
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    this also gives you 34.03

  44. anonymous
    • one year ago
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    ahh ok thanks :)

  45. freckles
    • one year ago
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    np

  46. anonymous
    • one year ago
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    i have more questions if you dont mind helping lol

  47. freckles
    • one year ago
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    I might be able to help with one more. You might also find this site helpful https://www.mathsisfun.com/sine-cosine-tangent.html

  48. freckles
    • one year ago
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    like have you ever heard of soh cah toa?

  49. freckles
    • one year ago
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    it is an easy way to remember trig ratios for sin,cos,and tan

  50. anonymous
    • one year ago
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    yea i do

  51. freckles
    • one year ago
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    soh cah toa s=o/h c=a/h t=o/a

  52. freckles
    • one year ago
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    anyways post another question if you have issues

  53. anonymous
    • one year ago
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    can you tell me what geometric mean is

  54. freckles
    • one year ago
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    oh the geometric mean of a and b is : \[\sqrt{a \cdot b}\] in general the geometric means of \[x_1,x_2,... ,x_n \text{ is } \sqrt[n]{x_1 \cdot x_2 \cdots x_n}\]

  55. anonymous
    • one year ago
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    Find the geometric mean between 14 & 21. this is the questoin

  56. freckles
    • one year ago
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    well that fits in with that first formula nicely since like that one you have two numbers

  57. freckles
    • one year ago
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    just replace a with 14 and b with 21

  58. freckles
    • one year ago
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    and simplify

  59. anonymous
    • one year ago
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    \[\sqrt{294}\] ?

  60. anonymous
    • one year ago
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    how do you simplify

  61. freckles
    • one year ago
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    that is right but that could be simplified I would have left 294 as 21*14 and looked for perfect square factors for example I know 21=7*3 and 14=7*2 so 21*14=2*3*7^2 and you know the square root of 7^2 (aka 49) \[\sqrt{21 \cdot 14} \\ =\sqrt{7^2 \cdot 2(3)} \\ =\sqrt{7^2} \sqrt{2(3)}\]

  62. anonymous
    • one year ago
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    Select one: a. 103√ or appx. 17.3 b. 17.5 c. 76√ or appx. 17.1 d. 637/35 or appx. 18.2 these are the answers

  63. freckles
    • one year ago
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    can't read those answers too well but if you are looking for an approximation instead of a simplified exact answer then plug in sqrt(14*21) into your calculator

  64. freckles
    • one year ago
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    just curious you don't know the sqrt(7^2)?

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