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To improve surveillance, the owners of a warehouse decide to put a mirror with a focal length of 240 cm. If a person is in a pavilion 6 m from the mirror, where is the person's image located?

a. 2 m from the mirror
b. 3 m from the mirror
c. 4 m from the mirror
d. 5 m from the mirror

User Dardan
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1 Answer

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Final answer:

The person's image is located 4 m from the mirror.

Step-by-step explanation:

The person's image is located 4 m from the mirror. In order to determine the location of the image, we can use the mirror equation: 1/f = 1/di + 1/do. Here, f represents the focal length, di represents the distance of the image from the mirror, and do represents the distance of the object from the mirror.

Given that the focal length of the mirror is 240 cm and the distance of the object from the mirror is 600 cm, we can substitute these values into the mirror equation to find the distance of the image from the mirror: 1/240 = 1/di + 1/600. Solving for di, we find that the distance of the image from the mirror is 400 cm or 4 m.

User Four
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