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( 25 POINTS )There is a light pole on one bank of a small pond. You are standing up while fishing on the other bank. After reflection from the surface of the water, part of the light from the bulb at the top of the pole reaches your eyes. Use a ray diagram to help find a point on the surface of the water from where the reflected ray reaches your eyes.


Determine an expression for the distance from this point on the water to the bottom of the light pole if the height of the pole is H , your height is h , and the distance between you and the light pole is L .

You must answer in terms of these varibles.

Respuesta :

marianaegarciaperedo

Following the Law of reflection we can assume that the expression for the distance from the point of reflection on the water to the bottom of the light pole is d = (H (L-d)) / h.

What does the Law of Reflection state?

The Law states that the reflection angle -θ₂- of an incident ray on a reflecting surface will be equal to the incidence angle -θ₁- of that ray.

Both angles, the reflection and the incidence one, are measured conserning the normal to the surface.

The law of reflection derives from Fermat's principle and states that the triangle formed between the incident ray and the surface, and the triangle produced by the reflected light and the surface are the same.

In the exposed example, if

  • H is the height of the pole,
  • h is the height of the person,
  • L the distance from the person to the pole,
  • d is the distance from the pole to the point of reflection,
  • L - d is the distance from the person to the point of reflection.

If,

θ₁ = θ₂

h/L-d = H/d    

Then, the distance from the point of reflection on the water to the bottom of the light pole, d is

d = (H (L-d)) / h

In the atached files you will find the diagram.

You will learn more about the Law of Reflection at

https://brainly.com/question/46881

https://brainly.com/question/12029226

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