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OpenSessame

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.

  • 8 months ago
  • 8 months ago

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  1. OpenSessame
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    I got .53 Using sin

    • 8 months ago
  2. OpenSessame
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    |dw:1377069720536:dw|

    • 8 months ago
  3. Psymon
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    |dw:1377069733737:dw|

    • 8 months ago
  4. Psymon
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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

    • 8 months ago
  5. OpenSessame
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    What???

    • 8 months ago
  6. Directrix
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    Sine is opposite over hypotenuse. You have opposite side over adjacent side which is NOT sine.

    • 8 months ago
  7. OpenSessame
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    I thought we would do...|dw:1377069953819:dw|

    • 8 months ago
  8. Psymon
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    Interesting, law of sines O.o

    • 8 months ago
  9. Psymon
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    Not necessary, though.

    • 8 months ago
  10. OpenSessame
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    I dont know then...:(

    • 8 months ago
  11. Psymon
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    Checked it, answer is the same, just.....a much longer way of doing it that isnt needed xD

    • 8 months ago
  12. Directrix
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    @OpenSessame Go ahead and do the Law of Sines and see what the answer is.

    • 8 months ago
  13. OpenSessame
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    its .53

    • 8 months ago
  14. Psymon
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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

    • 8 months ago
  15. OpenSessame
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    I thought that was more efficient cause i can do it really easy that way...

    • 8 months ago
  16. Psymon
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    Well, do whats comfortable of course. But do you understand what I did by chance?

    • 8 months ago
  17. Directrix
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    Go with what you know. nearest hundredth of a mile --> .52552... --> .53 as you said @OpenSessame

    • 8 months ago
  18. OpenSessame
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    Yes you used tan and then multiplied.

    • 8 months ago
  19. Psymon
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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!

    • 8 months ago
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