View the step-by-step solution to:

Question

first is my graphe

second is my question pls help

alt="61578199025_.pic.jpg" />51578199024_.pic.jpg

51578199024_.pic.jpg

61578199025_.pic.jpg

cabin in the Ontario wilderness. One evening, Ahmed and Mihai miss teaching so
much that they leave the cabin for a math adventure. They go to the nearby lake
equipped with a powerful flashlight, a small mirror, a calculator, and a protractor.
The water is still so they can see the reflection of everything in the moonlight.
Mihai and Ahmed decide they want to find out the width of the lake so they stand
at opposite edges of it. Ahmed holds up the mirror just above his head. With the
flashlight near the top of his head, Mihai carefully points it to a spot on the lake
directly between them so that the beam reflects off the lake onto Ahmed's mirror.
They know that the physics of light relies on three crucial principles:
i) Light travels on the path that minimizes the travel time.
ii) The shortest path between two points is a line segment between them.
iii) The speed of light is constant.
By measuring the angle at which Mihai's flashlight is pointed, how can they deter-
mine the width of the lake using these 3 principles? As always, justify your answer.
Note: Do not use any other physical principles of light unless you mathematically
justify them from those written above.
Hint: First, you must give a formula for the width of the lake which will depend
on several constants that Ahmed and Mihai can determine (or should obviously
already know) without any extra tools. Second, you must use calculus to justify this
formula using the principles described above. If you do not use calculus and all three
principles, you are probably missing something.

Top Answer

let a be height of Ahmed and m be height of Mihai line joining their feet be considered as x axis let d be x - co ordinate of... View the full answer

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question