Yr 11 question, trouble drawing diagram. Light.

[theperthvan]

Homework Statement

A film director films a scene by photographing it in a plane mirror. The distance from the camera to the actor is 12.0m. The perpendicular distance from the camera to the plane of the mirror is 8.0m. The perpendicular distance from the actor to the plane mirror is also 8.9m. At what distance should the photographer focus her camera

Homework Equations

basic, DIAGRAM NEEDED!

The Attempt at a Solution

no idea

 

[HallsofIvy]

It's hard to believe you are serious- you can't draw? Draw a long line segment representing the mirror. Mark a point representing the camera and draw a perpendicular from it to the line segment. Label that "8.0 m" Draw another mark representing the actor and draw a perpendicular from it to the mirror. Label that "8.9 m". (Was that a typo? You say "also". Did you mean to say "also 8.0 m"?). Draw a line from the camera to the actor and label it "12.0 m". Finally, draw the "light ray" from the actor to the mirror to the camera. That is, one line from the actor to the mirror and another from that point on the mirror to the camera. Remember that the angles the two lines make with the mirror must be equal. The total length of those two lines is the distance the camera must be focused for.

The general problem, which you would have if the two perpendicular distance were really 8.0 m and 8.9 m is an exercise in trigonometry. If the two distances are really equal, both 8.0 m, then it is a relatively simple problem in symmetry.

 

[Moetasim]

how to draw this diagram

As a scientist, it is important to accurately represent the information in a visual format. In order to draw the diagram for this problem, you can follow these steps:

1. Draw a horizontal line to represent the plane of the mirror. Label it as "mirror".
2. Draw a vertical line perpendicular to the mirror line, labeled as "camera".
3. Measure and mark a distance of 12.0m from the camera line and label it as "actor".
4. Draw a dotted line from the actor to the mirror, representing the light reflecting off the actor and hitting the mirror.
5. Measure and mark a distance of 8.0m from the camera line and label it as "perpendicular distance to mirror".
6. Measure and mark a distance of 8.9m from the actor line and label it as "perpendicular distance to actor".
7. Draw two more dotted lines from the camera line, each at a 90-degree angle to the previous dotted line. These lines represent the path of the light rays from the camera to the mirror and then to the actor.
8. The point where these two dotted lines intersect is the point where the camera should focus in order to capture the image in the mirror. Label this point as "focus point".

I hope this helps you to visualize the problem and draw an accurate diagram. Remember to use a ruler and label all the distances and lines clearly. Good luck with your homework!