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MIMI23

  • 3 years ago

PLEASE HELP ME!The sail of a boat is in the shape of a right triangle, as shown below. Which expression shows the length, in meters, of the side adjacent to the 50 degree angle?

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  1. MIMI23
    • 3 years ago
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  2. MIMI23
    • 3 years ago
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    6 sin 50 6 cot 50 6/sec50 6/cot50

  3. MIMI23
    • 3 years ago
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    Is anyone going to help me ?

  4. dpflan
    • 3 years ago
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    Sure, let me try

  5. dpflan
    • 3 years ago
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    Are you familiar with SOH CAH TOA? SOH - opposite / hypotenuse CAH - adjacent / hypotenuse TOA - opposite / adjacent

  6. dpflan
    • 3 years ago
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    You are given the angle, 50 degrees, and the length of the opposite side from the angle, which is 6m

  7. MIMI23
    • 3 years ago
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    yes

  8. dpflan
    • 3 years ago
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    Therefore, what trigonometric relation do you think you should work with, given that you want to find the length of the adjacent side for the angle

  9. dpflan
    • 3 years ago
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    Which two sides do you have work with relative to the angle 50 degrees?

  10. MIMI23
    • 3 years ago
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    im not sure

  11. dpflan
    • 3 years ago
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    All right, let's figure it out. You have 3 sides, can you identify the hypotenuse in the picture?

  12. dpflan
    • 3 years ago
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    You know that it is a right triangle, because there is a 90 degree angle at the bottom left of the triangle

  13. MIMI23
    • 3 years ago
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    the longest side

  14. dpflan
    • 3 years ago
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    Cool, which is which side? The left side, the bottom side, or the right side?

  15. dpflan
    • 3 years ago
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    In a right triangle, 90 is the large possible angle, and in triangles, the largest side is opposite the largest angle

  16. MIMI23
    • 3 years ago
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    the left ?

  17. dpflan
    • 3 years ago
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    |dw:1345139761433:dw|

  18. dpflan
    • 3 years ago
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    The left is the side that is 6m, that is the one you mean?

  19. MIMI23
    • 3 years ago
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    cb

  20. dpflan
    • 3 years ago
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    Cool, from the picture I drew, you're saying 'CB' is the hypotensue?

  21. MIMI23
    • 3 years ago
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    yeah

  22. dpflan
    • 3 years ago
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    Right on, that's it! So in the picture of the sail, the hypotenuse is the right side, just like in the drawing

  23. dpflan
    • 3 years ago
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    Now, can you tell me what the functions of angle B are in the drawing, use the line segments like you just did to identify the hypotenuse. sin(b) = ? cos(b) = ? tan(b) = ?

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