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anonymous

  • one year ago

y=

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    options are 4.6 13.9 21.6

  3. mathstudent55
    • one year ago
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    You need to use trigonometry of a right triangle.

  4. Nurali
    • one year ago
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  5. mathstudent55
    • one year ago
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    Look at the triangle. Which side is the hypotenuse?

  6. Nurali
    • one year ago
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    Last Formula Tan60=8/y y=8/Tan60

  7. UsukiDoll
    • one year ago
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    errr but we're only given 1 side and 1 angle with 2 unknowns though ?!

  8. mathstudent55
    • one year ago
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    @shylibra16 For simplicity, call the sides x, y, and 8. Of the three sides x, y, and 8, which one is the hypotenuse?

  9. anonymous
    • one year ago
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    the x is the hypotenuse

  10. mathstudent55
    • one year ago
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    Good. That means the y and the 8 are legs. Now look at the given angle. For that given angle, which side, y or 8, is the adjacent leg?

  11. mathstudent55
    • one year ago
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    Hint: adjacent means "next to". Opposite means "across from".

  12. anonymous
    • one year ago
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    y

  13. mathstudent55
    • one year ago
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    |dw:1436846834358:dw|

  14. mathstudent55
    • one year ago
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    |dw:1436846878550:dw|

  15. mathstudent55
    • one year ago
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    For the 60-deg angle, the y side is the opposite leg. For the 60-deg angle, the 8 side is the adjacent leg.

  16. mathstudent55
    • one year ago
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    |dw:1436847013290:dw|

  17. mathstudent55
    • one year ago
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    We know the angle. We know the adjacent leg. We are looking for the opposite leg. Look above at @Nurali 's helpful figure, and see which trig function relates the angle to the opposite and adjacent legs?

  18. anonymous
    • one year ago
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    so its 13.9?

  19. mathstudent55
    • one year ago
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    The tangent relates the opposite and the adjacent legs. You get \(\tan 60^o = \dfrac{opp}{adj} \) \(\tan 60^o = \dfrac{y}{8} \) \(y = 8 \tan 60^o\) \(y = 13.9\) You are correct.

  20. anonymous
    • one year ago
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    YAY!

  21. Nurali
    • one year ago
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    Tan60=8/y Not Tan60=y/8

  22. UsukiDoll
    • one year ago
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    so if it's \[\tan60 = \frac{8}{y}\] then \[y[\tan60]=8\] \[y=\frac{8}{\tan60}\] like that? @Nurali

  23. Nurali
    • one year ago
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    @mathstudent55 @shylibra16

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