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janessia

  • 2 years ago

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)?

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

  2. mark_o.
    • 2 years ago
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    @ janessia

  3. janessia
    • 2 years ago
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    hmm idk

  4. janessia
    • 2 years ago
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    how would i draw it?

  5. mark_o.
    • 2 years ago
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    do you know the angle of depression?

  6. mark_o.
    • 2 years ago
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    |dw:1351530728427:dw|

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

  8. janessia
    • 2 years ago
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    so how do i solve this?

  9. mark_o.
    • 2 years ago
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    |dw:1351530990457:dw|

  10. mark_o.
    • 2 years ago
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    you can try tangent

  11. janessia
    • 2 years ago
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    opposite hypotenuse?

  12. janessia
    • 2 years ago
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    opposite adjacent

  13. janessia
    • 2 years ago
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    ?

  14. mark_o.
    • 2 years ago
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    sorry my pc got frozen,,, yes try that tangent

  15. mark_o.
    • 2 years ago
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    let me know what you getting

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

  17. mark_o.
    • 2 years ago
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    memorized sin A= opposite/ hypotenuse cos A= adjacent/hypotenuse tan A= opposite/adjacent

  18. janessia
    • 2 years ago
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    ohk but hmmmm??? im so confused

  19. janessia
    • 2 years ago
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    just forget it its fine

  20. mark_o.
    • 2 years ago
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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=?

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

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

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