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Mirandaregina

  • one year ago

(Answer choices below) Given angle theta = 208 degrees and a right triangle inscribed within a circle of radius 5, what is the value of x of the corresponding coordinate? A) -2.34 B) -4.41 C) 2.34 D) 4.41

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  1. welshfella
    • one year ago
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    |dw:1437747172162:dw|

  2. welshfella
    • one year ago
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    cos 208 = -cos 28 = x /5 x = -5 cos 28

  3. welshfella
    • one year ago
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    take your calculator and work this out

  4. welshfella
    • one year ago
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    do you understand this?

  5. Mirandaregina
    • one year ago
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    @welshfella I do not

  6. welshfella
    • one year ago
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    positive angles go counterclocwise so 208 degrees is the big arc

  7. welshfella
    • one year ago
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    |dw:1437747608472:dw|

  8. welshfella
    • one year ago
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    and the semicircle (between the 2 large dots) = 180 degrees so we have 28 degrees over OK?

  9. Mirandaregina
    • one year ago
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    @welshfella that part makes sense, I'm just not sure what part I'm supposed to enter in my calculator

  10. welshfella
    • one year ago
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    applying trigonometry to the small triangle -cos 28 = adjacent / hypotenuse = x / 5 so x = - 5 * cos 28 thats what you enter into your calculator:- -5 times cos 28

  11. Mirandaregina
    • one year ago
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    @welshfella I have -5 * cos(28) = 4.8130

  12. welshfella
    • one year ago
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    no thats not correct the x coordinate is negative and not as large as that

  13. welshfella
    • one year ago
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    have you set ur calc to degrees?

  14. Mirandaregina
    • one year ago
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    @welshfella you're right, it wasn't set to degrees. Now I have -5*cos(28) = -4.41

  15. welshfella
    • one year ago
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    you should get -4.41

  16. welshfella
    • one year ago
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    right

  17. welshfella
    • one year ago
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    |dw:1437748180441:dw|

  18. Mirandaregina
    • one year ago
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    @welshfella ok this is making sense to me now. Thank you for explaining this :)

  19. welshfella
    • one year ago
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    yw

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