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OpenSessame

  • one year ago

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.

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  1. OpenSessame
    • one year ago
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    I got .53 Using sin

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

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

  4. Psymon
    • one year ago
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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

  5. OpenSessame
    • one year ago
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    What???

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

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

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

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

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

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

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

  13. OpenSessame
    • one year ago
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    its .53

  14. Psymon
    • one year ago
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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

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

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

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

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

  19. Psymon
    • one year ago
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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!

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