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The task now is to develop a function that calculates the height of the beam above the horizontal to produce a desired angle. Your solution should be justified mathematically, including the...

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The task now is to develop a function that calculates the height of the beam above the horizontal to produce a desired angle.
Your solution should be justified mathematically, including the reasonableness of your results.
Use your solution to calculate the appropriate heights for reflecting angles 16°, 32°, and 48°.
ITEM 6 [M&P 13]
Refine the model to develop a function for height, as a function of the reflecting angle a E R+ for any given focal value, a.
Test your model with an example and construct a correctly scaled diagram on Autograph to illustrate and verify your result.
Answered Same Day Dec 26, 2021

Solution

Robert answered on Dec 26 2021
114 Votes
Ans. 1
As shown in the diagram, there is beam directing toward an object and reflecting the
same,
Let height is h , and the given base is 5a  ,
According to the property of light the angle of reflection will be equal to the incident
angle.
1. So for the reflection of the 020 angle from the ground the beam should be
incident on 010 can reflect by the same.
2. So, now the task is to calculate the height of the beam for making angle 010 to
the...
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