Thank you for visiting You stand 1 40 m in front of a wall and gaze downward at a small vertical mirror mounted on it In this mirror you. 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 :
Answer:
The angle is 31.26°.
Explanation:
Given that,
Distance = 1.40 m
Height = 1.70 m
We need to calculate the angle
Using formula of angle
[tex]tan\theta=\dfrac{y}{d}[/tex]
Here, [tex]y = \dfrac{h}{2}[/tex]
[tex]y=\dfrac{1.70}{2}=0.85\ m[/tex]
Put the value into the formula
[tex]\tan\theta =\dfrac{0.85}{1.40}[/tex]
[tex]\theta=\tan^{-1}0.6071[/tex]
[tex]\theta=31.26^{\circ}[/tex]
Hence, The angle is 31.26°.
Thank you for reading the article You stand 1 40 m in front of a wall and gaze downward at a small vertical mirror mounted on it In this mirror you. 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
Final answer:
The mirror should be tilted approximately 50.71 degrees from the vertical for you to see your eyes in the mirror. This is based on the law of reflection and basic trigonometry.
Explanation:
To calculate the angle through which the mirror must be tilted to see your eyes in the mirror, we first note that when you see yourself in a mirror, your image appears to be the same distance behind the mirror as you stand in front of it. This is due to the law of reflection.
Let's consider a simple triangle created by the top of the head (the eyes), the feet, and the mirror. The distance between the feet and the mirror is 1.40 m, and the distance from the feet to the eyes is 1.70 m. Therefore, the angle θ that the mirror has to be tilted can be calculated using the tangent of the angle (θ=tan⻹(opposite/adjacent)).
So, θ = tan⻹(1.70/1.40) which gives θ approximately 50.71 degrees. This is the angle from the vertical, so the mirror must be tilted about 50.71 degrees from the vertical for you to see your eyes in the mirror.
Learn more about Mirror Tilting here:
https://brainly.com/question/13088854
#SPJ3
