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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B and C, as shown below:

A source of laser light sends rays AB and AC toward two opposite walls of a hall The light rays strike the walls at points B and C as shown below class=

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A source of laser light is at point A on the ground between two parallel walls. The walls are perpendicular to the ground. AB is a ray of light which strikes the wall on the left at point B which is 60 meters above the ground. AC is a ray of light which strikes the wall on the right at point C which is 40 m above the ground. The ray AB makes an angle of 60 degrees with the ground. The ray AC makes an angle of 30 degrees with the ground.

Let base of walls be D and E respectively

Now

  • In∆AEC

[tex]\\ \sf\longmapsto tan45°=\dfrac{80}{AE}[/tex]

[tex]\\ \sf\longmapsto AE=\dfrac{80}{tan45}[/tex]

[tex]\\ \sf\longmapsto AE=\dfrac{80}{1}[/tex]

[tex]\\ \sf\longmapsto AE=80m[/tex]

  • In ∆ADC

[tex]\\ \sf\longmapsto cos60=\dfrac{AD}{40}[/tex]

[tex]\\ \sf\longmapsto AD=0.5(40)[/tex]

[tex]\\ \sf\longmapsto AD=20m[/tex]

Now distance between walls=

  • AE+AD=80+20=100m

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