Results 1 to 2 of 2

Math Help - law of reflection

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    5

    Exclamation law of reflection

    Two mirrors are placed at a 90 angle to each other. A light ray strikes one mirror 0.650 m from the intersection of the mirrors with an incident angle of 36.5. The ray then travels a distance d before reflecting from the second mirror. (a) What is the distance d?

    please explain how you got the answer to me once you get it because i soooo dont get it! thanks a million!!! ^^
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,914
    Thanks
    779
    Hello, soojin89!

    I assume you made a sketch . . .


    Two mirrors are placed at a 90 angle to each other.
    A light ray strikes one mirror 0.650 m from the intersection of the mirrors
    with an incident angle of 36.5.
    The ray then travels a distance d before reflecting from the second mirror.
    (a) What is the distance d?
    Code:
                D
        C * - - * - - - 
          |    /
          |   /
     0.65 |  /d
          |θ/
          |/
        B *
          |\
          |θ\
          |  \
          |   \
          |    A

    The ray come in from A, strikes the first mirror at B
    . . and reflects to point D on the other mirror.
    BC = 0.65,\;\;\theta = 36.5^o

    In right triangle BCD\!:\;\;\cos36.5^o \:=\:\frac{0.65}{d} \quad\Rightarrow\quad d \:=\:\frac{0.65}{\cos36.5^o} \;\approx\;0.8086 m.

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Reflection
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: December 16th 2009, 12:33 PM
  2. reflection in x=1/2
    Posted in the Geometry Forum
    Replies: 6
    Last Post: May 28th 2009, 01:34 PM
  3. Reflection
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 5th 2009, 08:24 AM
  4. reflection
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: April 7th 2009, 08:56 AM
  5. Reflection
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 1st 2008, 05:32 AM

Search Tags


/mathhelpforum @mathhelpforum