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5. In 1950 in Seattle, Washington, there was a Christmas tree 67.4 m tall. How far from a concave mirror having a radius of curvature equal to 12 m must a person 1.69 m tall stand to form a virtual image equal to the height of the tree? Will the image be upright or inverted?

Answer :

The person must stand at a distance of 6.15 m.

The image produced by the concave mirror is real and inverted.

What are concave mirrors?

Concave mirrors are curved mirrors that bring reflected rays of light from a distance to a focus. Thus, concave mirrors are converging mirrors.

Concave mirrors reflect light from their inside surface.

The object distance, the image distance, and the focal length of a mirror are related by the mirror as follows:

1 / f = 1 /v + 1 / u

where;

f = focal length

v = image distance

u = object distance

The focal length of the mirror = radius of curvature / 2

f = 12 /2

f = 6 m

magnification of the object = 67.4 / 1.69

magnification of the object = 40

Also, magnification = v / u

40 = v / u

v = 40 u

Substituting v in the mirror formula

1/6 = 1/40u + 1/u

u = 41 * 6 / 40

u = 6.15 m

Since the object is at a distance greater than the focal length, the image is real and inverted.

Learn more about concave mirrors at: https://brainly.com/question/13092652

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