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OpenSessame Group Title

A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles. To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

  • one year ago
  • one year ago

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  1. OpenSessame Group Title
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    I got .53 Using sin

    • one year ago
  2. OpenSessame Group Title
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    |dw:1377069720536:dw|

    • one year ago
  3. Psymon Group Title
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    |dw:1377069733737:dw|

    • one year ago
  4. Psymon Group Title
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    Not sin :P We need to use a trig function that includes a known quantity as well as the unknown one. Sin is opposite over hypotenuse, but the hypotenuse gives us no information. We use tangent because tangent is opposite over adjacent, which includes our x as well as our known quantity

    • one year ago
  5. OpenSessame Group Title
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    What???

    • one year ago
  6. Directrix Group Title
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    Sine is opposite over hypotenuse. You have opposite side over adjacent side which is NOT sine.

    • one year ago
  7. OpenSessame Group Title
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    I thought we would do...|dw:1377069953819:dw|

    • one year ago
  8. Psymon Group Title
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    Interesting, law of sines O.o

    • one year ago
  9. Psymon Group Title
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    Not necessary, though.

    • one year ago
  10. OpenSessame Group Title
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    I dont know then...:(

    • one year ago
  11. Psymon Group Title
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    Checked it, answer is the same, just.....a much longer way of doing it that isnt needed xD

    • one year ago
  12. Directrix Group Title
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    @OpenSessame Go ahead and do the Law of Sines and see what the answer is.

    • one year ago
  13. OpenSessame Group Title
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    its .53

    • one year ago
  14. Psymon Group Title
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    Yeah, it's the same answer doing it the faster way with tangent. It's nice to know the law of sines, but you should also know the more efficient way of doing this problem :3

    • one year ago
  15. OpenSessame Group Title
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    I thought that was more efficient cause i can do it really easy that way...

    • one year ago
  16. Psymon Group Title
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    Well, do whats comfortable of course. But do you understand what I did by chance?

    • one year ago
  17. Directrix Group Title
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    Go with what you know. nearest hundredth of a mile --> .52552... --> .53 as you said @OpenSessame

    • one year ago
  18. OpenSessame Group Title
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    Yes you used tan and then multiplied.

    • one year ago
  19. Psymon Group Title
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    Mhm. As long as you know what I did, then thats fine. The more you know the better, but use whats comfortable in the end. You got the right answer, so good job!

    • one year ago
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