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ASpasaro Group Title

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

  • 2 years ago
  • 2 years ago

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  1. Freyes Group Title
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    |dw:1353205436011:dw|

    • 2 years ago
  2. Freyes Group Title
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    |dw:1353205487282:dw|

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

    • 2 years ago
  4. ASpasaro Group Title
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    Why would I inverse cos. I also have the other leg which length is 8.

    • 2 years ago
  5. satellite73 Group Title
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    you don't need the angle unless you are asked for it

    • 2 years ago
  6. ASpasaro Group Title
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    They are asking for the angle

    • 2 years ago
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  7. ASpasaro Group Title
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    would it be 8 over 17 = x over 15

    • 2 years ago
  8. tcarroll010 Group Title
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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.

    • 2 years ago
  9. ASpasaro Group Title
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    Does it matter which side is used for adj then?

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

    • 2 years ago
  11. jazy Group Title
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    *is

    • 2 years ago
  12. jazy Group Title
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    15 ÷ 17

    • 2 years ago
  13. tcarroll010 Group Title
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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.

    • 2 years ago
  14. tcarroll010 Group Title
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    8/17 would have to be for sine because 8 is the opposite, not adjacent side.

    • 2 years ago
  15. ASpasaro Group Title
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  16. tcarroll010 Group Title
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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?

    • 2 years ago
  17. ASpasaro Group Title
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    but that diagram shows 8 at adj and cos is adj/hyp

    • 2 years ago
  18. ASpasaro Group Title
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    I am so to confused im sorry if I am asking a lot of questions.

    • 2 years ago
  19. tcarroll010 Group Title
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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.

    • 2 years ago
  20. tcarroll010 Group Title
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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.

    • 2 years ago
  21. jazy Group Title
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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|

    • 2 years ago
  22. ASpasaro Group Title
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    Then wouldnt they both be adj technicaly

    • 2 years ago
  23. tcarroll010 Group Title
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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.

    • 2 years ago
  24. ASpasaro Group Title
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    Oh okay. I gotchya

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

    • 2 years ago
  26. ASpasaro Group Title
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    Thank you

    • 2 years ago
  27. tcarroll010 Group Title
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    You are quite welcome!

    • 2 years ago
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