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anonymous

  • one year ago

Does anyone know the answer to this word problem? Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°. a.find the height, h, of the lighthouse. b.Find the angle, rounded to the nearest tenth of a degree, in which Kelly looks up to the top of the lighthouse. c.To the nearest tenth of a degree, find the value of x° . In two or more sentences, explain your calculations

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  1. anonymous
    • one year ago
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    do Pythagorean therom to find height

  2. anonymous
    • one year ago
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    oh sorry I know the height already I just dont know the formula

  3. anonymous
    • one year ago
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    ... for the other two

  4. anonymous
    • one year ago
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    a2+b2=c2

  5. anonymous
    • one year ago
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    tan Θ = opposite/adjacent

  6. AkashdeepDeb
    • one year ago
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    |dw:1434409325087:dw|

  7. AkashdeepDeb
    • one year ago
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    x + y + 135 = 180 [ASP of a triangle] x + tan^(-1) 7 + 135 = 180 x = 180 - ( 135 + tan^(-1) 7 )

  8. anonymous
    • one year ago
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    |dw:1434409514062:dw|

  9. anonymous
    • one year ago
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    the calculator have me this for your formula 0.4877325886

  10. anonymous
    • one year ago
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    gave*

  11. anonymous
    • one year ago
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    for which value? and is your calculator in degree mode?

  12. AkashdeepDeb
    • one year ago
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    Yes. And that's absolutely correct. Because that is in radians and your question's measure of angle is in degrees.

  13. anonymous
    • one year ago
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    so y = 48 then

  14. anonymous
    • one year ago
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    no. what did you enter?

  15. anonymous
    • one year ago
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    did you do \[\tan^{-1} \frac{ 14 }{ 26 }\]

  16. anonymous
    • one year ago
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    oh no I just did reg tan

  17. anonymous
    • one year ago
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    87.7 degrees

  18. anonymous
    • one year ago
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    It seems like you're not entering something right on your calculator. http://www.wolframalpha.com/input/?i=tan^-1%2814%2F26%29

  19. anonymous
    • one year ago
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    idk I will just use that calculator from now on

  20. anonymous
    • one year ago
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    ok, so y = 28.3°

  21. anonymous
    • one year ago
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    |dw:1434410282665:dw|

  22. anonymous
    • one year ago
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    yup I just did that, thanks for your help

  23. anonymous
    • one year ago
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    you're welcome

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