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ASpasaro

Look at the triangle. A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x°. The side adjacent to the acute angle has length 15 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of cos x°? Can someone Explain to me how to solve cos I know it is adj/hyp

  • one year ago
  • one year ago

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  1. Freyes
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    |dw:1353205436011:dw|

    • one year ago
  2. Freyes
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    |dw:1353205487282:dw|

    • one year ago
  3. Freyes
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    Solving for x.. you would do inverse cosine on the two sides to get the angle in between the two. \[x = \cos^{-1} (15/17)\]

    • one year ago
  4. ASpasaro
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    Why would I inverse cos. I also have the other leg which length is 8.

    • one year ago
  5. satellite73
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    you don't need the angle unless you are asked for it

    • one year ago
  6. ASpasaro
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    They are asking for the angle

    • one year ago
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  7. ASpasaro
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    would it be 8 over 17 = x over 15

    • one year ago
  8. tcarroll010
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    If you need the angle and not just cos of the angle, then freyes gave you a good answer. The angle is determined by the inverse trig functions. His equation gives the angle.

    • one year ago
  9. ASpasaro
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    Does it matter which side is used for adj then?

    • one year ago
  10. jazy
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    |dw:1353206463570:dw| You want to solve for cos(x) and you already did. The answer if 15/17

    • one year ago
  11. jazy
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    *is

    • one year ago
  12. jazy
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    15 ÷ 17

    • one year ago
  13. tcarroll010
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    You would use 15/17 for the cos. You could use 8/17 for the sine. Either one (and otherways, too) will give the answer, but one is for cos, the other is for sine.

    • one year ago
  14. tcarroll010
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    8/17 would have to be for sine because 8 is the opposite, not adjacent side.

    • one year ago
  15. ASpasaro
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    • one year ago
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  16. tcarroll010
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    Yes, that's a good diagram to use. One other thing, you have to set your calculator for whether you want degrees or radians for the angle. And again, do you want the angle or just cos of the angle? Or both?

    • one year ago
  17. ASpasaro
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    but that diagram shows 8 at adj and cos is adj/hyp

    • one year ago
  18. ASpasaro
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    I am so to confused im sorry if I am asking a lot of questions.

    • one year ago
  19. tcarroll010
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    Actually, adjacent is "right next to" the little arc. It's "close by" or "right to the side". "8" is opposite, not adjacent. And don't worry about your questions, they're all good, and that's how you learn. You're doing fine.

    • one year ago
  20. tcarroll010
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    A good way to remember adjacent is that it shares a point with the hypotenuse that is right where the angle in question is. The angle is nestled in where the adjacent and hypotenuse meet.

    • one year ago
  21. jazy
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    It depends which angle you are looking for. Adjacent is between the right angle and the other given angle, in this case, x. |dw:1353207247146:dw|

    • one year ago
  22. ASpasaro
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    Then wouldnt they both be adj technicaly

    • one year ago
  23. tcarroll010
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    They are adjacent depending on what angle you are looking at. If you had an angle y at the top tip, then "8" would the adjacent side for THAT angle.

    • one year ago
  24. ASpasaro
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    Oh okay. I gotchya

    • one year ago
  25. tcarroll010
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    It's wonderful when we get "aha" moments! You just learned and consolidated that learning. Well done!

    • one year ago
  26. ASpasaro
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    Thank you

    • one year ago
  27. tcarroll010
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    You are quite welcome!

    • one year ago
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