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...

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.