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janessia

Isaac is looking through binoculars on a whale watching trip when he notices a sea otter in the distance. If he is 20 feet above sea level in the boat, and the angle of depression is 30 degrees, how far away from the boat is the otter (to the nearest foot)?

  • one year ago
  • one year ago

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  1. mark_o.
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    hello are you there? do u think you can draw this first before you can solve?

    • one year ago
  2. mark_o.
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    @ janessia

    • one year ago
  3. janessia
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    hmm idk

    • one year ago
  4. janessia
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    how would i draw it?

    • one year ago
  5. mark_o.
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    do you know the angle of depression?

    • one year ago
  6. mark_o.
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    |dw:1351530728427:dw|

    • one year ago
  7. mark_o.
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    the height y=20 , the x= distance angle theta = angle of depression

    • one year ago
  8. janessia
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    so how do i solve this?

    • one year ago
  9. mark_o.
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    |dw:1351530990457:dw|

    • one year ago
  10. mark_o.
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    you can try tangent

    • one year ago
  11. janessia
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    opposite hypotenuse?

    • one year ago
  12. janessia
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    opposite adjacent

    • one year ago
  13. janessia
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    ?

    • one year ago
  14. mark_o.
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    sorry my pc got frozen,,, yes try that tangent

    • one year ago
  15. mark_o.
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    let me know what you getting

    • one year ago
  16. mark_o.
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    \[\tan \theta =\frac{ 20 }{ x } ,......\] then what is x=?

    • one year ago
  17. mark_o.
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    memorized sin A= opposite/ hypotenuse cos A= adjacent/hypotenuse tan A= opposite/adjacent

    • one year ago
  18. janessia
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    ohk but hmmmm??? im so confused

    • one year ago
  19. janessia
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    just forget it its fine

    • one year ago
  20. mark_o.
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    \[\tan \theta =\frac{ 20 }{ x }\] so here we want x, therefore multiply both sides by x, to get \[xtan \theta =\frac{ 20 }{ x }.x\] \[x \tan \theta =20\] divide both sides by tan o gives \[\frac{ x \tan \theta }{ \tan \theta }=\frac{ 20 }{ \tan \theta } \] w/c gives \[x=\frac{ 20 }{ \tan \theta }....\] x=?

    • one year ago
  21. mark_o.
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    did you get it? angle of depression \[\theta =30\]

    • one year ago
  22. mark_o.
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    so x= 20/ tan 30 what did you get?

    • one year ago
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