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anonymous

  • one year ago

I need help, but I think I understand most of it.

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  1. anonymous
    • one year ago
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    From a boat on the lake, the angle of elevation to the top of a cliff is 18°41'. If the base of the cliff is 991 feet from the boat, how high is the cliff (to the nearest foot)?

  2. anonymous
    • one year ago
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    So I already know I need to use tan

  3. jim_thompson5910
    • one year ago
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    you should have something like this drawn up |dw:1440632228679:dw|

  4. anonymous
    • one year ago
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    tan (h/991)

  5. jim_thompson5910
    • one year ago
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    it should be tan(18°41') = h/991

  6. jim_thompson5910
    • one year ago
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    tan(angle) = opp/adj |dw:1440632425483:dw|

  7. anonymous
    • one year ago
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    Oh okay

  8. anonymous
    • one year ago
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    Does 18'41 mean the same as 18.41?

  9. jim_thompson5910
    • one year ago
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    no

  10. jim_thompson5910
    • one year ago
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    the `41'` means "41 arcminutes". Sometimes the book will drop the "arc" and just say "41 minutes"

  11. jim_thompson5910
    • one year ago
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    Rule: 1 degree = 60 arcminutes think of it as 60 minutes in an hour

  12. jim_thompson5910
    • one year ago
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    divide both sides of `1 degree = 60 arcminutes` by 60 to get (1/60) degree = 1 arcminute then multiply both sides by 41 to get (41/60) degree = 41 arcminutes

  13. jdoe0001
    • one year ago
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    hmm actually, my calculator takes the minutes for the trig functions

  14. jdoe0001
    • one year ago
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    but you could convert it to decimals, and just use the flat degree

  15. anonymous
    • one year ago
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    Give me .6833->

  16. jim_thompson5910
    • one year ago
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    so that means `18°41'` is equivalent to `18.6833°` approximately

  17. anonymous
    • one year ago
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    \[\tan (18.6833)=\frac{ x }{ 991 }\]

  18. anonymous
    • one year ago
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    Then I just solve for x

  19. jim_thompson5910
    • one year ago
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    correct

  20. anonymous
    • one year ago
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    Thank you

  21. jim_thompson5910
    • one year ago
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    what value of x do you get

  22. anonymous
    • one year ago
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    335ft

  23. jim_thompson5910
    • one year ago
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    yep I'm getting 335.113085763609 which rounds to 335

  24. anonymous
    • one year ago
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    mhm Thank you for the help

  25. jim_thompson5910
    • one year ago
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    you're welcome

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