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Math Help - trig word prob

  1. #1
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    Post trig word prob

    Light travels like waves in many different planes. If light is polarized, all of the waves are traveling in parallel planes. You may havepolarized sunglasses taht eliminate glare by polarizing the light. Suppose vertically-polarized light with intensity (I) strikes a polarizing filter with its axis at an angle of theta with the vertical. The intensity of the transmitted light, (O), and theta ate realated by the equation cos theta= square root of I/O

    a. If one-fourth of the polarized light is transmitted through the lens, at what angle is the lens being held?

    b. At what angle will none of the polarized light be transmitted through the lens?
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  2. #2
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    Quote Originally Posted by mathAna1ys!5

    a. If one-fourth of the polarized light is transmitted through the lens, at what angle is the lens being held?

    b. At what angle will none of the polarized light be transmitted through the lens?
    To a)
    If  I=\frac{1}{4} \cdot O than you get:

     \cos \theta = \sqrt{\frac{I}{O}} \mbox{means}  \cos \theta = \sqrt{\frac{\frac{1}{4} O}{O}} =\frac{1}{2}

    and you get:  \theta = 60^\circ

    to b)

    Use your equation:  \cos \theta = \sqrt{\frac{I}{O}}=0 is only possible if  \theta=90^\circ

    Bye
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