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anonymous

  • one year ago

help with finding side of triangle

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  1. anonymous
    • one year ago
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    Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. Find the height of the mountain to the nearest foot if Bob is 19,427.5 feet from the center of the mountain at the base.

  2. zpupster
    • one year ago
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    |dw:1443102710948:dw| opp/adj = tan

  3. anonymous
    • one year ago
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    what does the 11 in the 25°11' mean then

  4. dakid88
    • one year ago
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    tan(34 40/60) = h/(x-5280) --- Therefore 0.4748x = 0.69157(x-5280) 0.4748x = 0.69157x-0.09157*5280) --- -0.2168x = -0.09157*5280 --- x = 2230 ft

  5. anonymous
    • one year ago
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    im confused where did you get the numbers for that

  6. zpupster
    • one year ago
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    so ht/19427.5 =tan25

  7. dakid88
    • one year ago
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    yes

  8. anonymous
    • one year ago
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    what about the 11 in the equation?

  9. anonymous
    • one year ago
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    after the 25 degrees

  10. zpupster
    • one year ago
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    it is minutes

  11. dakid88
    • one year ago
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    tht is divided by the 25

  12. anonymous
    • one year ago
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    how come were not using it then

  13. anonymous
    • one year ago
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    and also where did you get the number 5280 @dakid88

  14. zpupster
    • one year ago
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    you can use it 11/60 and get a decimal

  15. anonymous
    • one year ago
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    oh i see

  16. anonymous
    • one year ago
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    so where do i go from here then

  17. dakid88
    • one year ago
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    get the answer

  18. anonymous
    • one year ago
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    thats what ive been needing help with

  19. dakid88
    • one year ago
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    brb

  20. anonymous
    • one year ago
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    thats not any of the answer choices

  21. Mertsj
    • one year ago
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    |dw:1443103740128:dw|

  22. anonymous
    • one year ago
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    yes then what @Mertsj

  23. Mertsj
    • one year ago
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    \[\tan 2511/60=\frac{x}{19427.5}\]

  24. anonymous
    • one year ago
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    i have it set up like that i just dont remeber how to solve it thats what ive been trying to ask

  25. Mertsj
    • one year ago
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    \[.89567=\frac{x}{19427.5}\]

  26. Mertsj
    • one year ago
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    \[.89567(19427.5)=x\]

  27. anonymous
    • one year ago
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    i got 17,400

  28. Mertsj
    • one year ago
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    x= 17400.72 ft

  29. anonymous
    • one year ago
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    but that cant be the answer because its not any of the answer choices

  30. Mertsj
    • one year ago
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    What are your choices?

  31. anonymous
    • one year ago
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    9135, 9235, 91351, 913515

  32. anonymous
    • one year ago
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    and 17400 isnt close to any

  33. Mertsj
    • one year ago
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    whoops. I must have misused the tangent function on my calculator. I now get .47020 for the tangent of 25 11/50 degrees.

  34. anonymous
    • one year ago
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    yeah i just figured it out thank you

  35. Mertsj
    • one year ago
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    \[.47021=\frac{x}{19427.5}\]

  36. anonymous
    • one year ago
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    i got it its 9141

  37. Mertsj
    • one year ago
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    \[x= .47021(19427.5)=9134.9859\]

  38. Mertsj
    • one year ago
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    yw

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