Thank you for visiting Two plane mirrors touch along one edge forming an angle of 53 7 degrees A beam of light is directed onto one of the mirrors. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Let's sketch the problem to understand better:
Since the angle of reflection is congruent to the angle of incidence, we have r1 = i1 = 38.2°.
Now, let's calculate angle x, knowing that it is complementary to the angle r1:
[tex]\begin{gathered} x+r1=90\\ \\ x+38.2=90\\ \\ x=90-38.2\\ \\ x=51.8° \end{gathered}[/tex]To calculate angle y, let's add all angles in the triangle and equate the sum to 180°:
[tex]\begin{gathered} x+y+53.7=180\\ \\ 51.8+y+53.7=180\\ \\ y+105.5=180\\ \\ y=180-105.5\\ \\ y=74.5° \end{gathered}[/tex]Angles i2 and y are complementary, so we have:
[tex]\begin{gathered} i2+y=90\\ \\ i2+74.5=90\\ \\ i2=90-74.5\\ \\ i2=15.5° \end{gathered}[/tex]Since r2 and i2 are congruent, so the angle of reflection in the second mirror is 15.5°.
Thank you for reading the article Two plane mirrors touch along one edge forming an angle of 53 7 degrees A beam of light is directed onto one of the mirrors. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
