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A 1.70-meter-tall person stands 7.70 meters in front of a large, concave spherical mirror with a radius of curvature of 4.20 meters.

(a) Determine the mirror's focal length (in meters).

Answer :

Final answer:

The focal length of a mirror is half its radius of curvature. Therefore, for a mirror with a radius of 4.2 meters, the focal length would be 2.1 meters.

Explanation:

The focal length of a mirror, denoted by 'f', can be calculated using the relationship between the radius of curvature and the focal length for a mirror. This relationship is given as f = R/2, where R is the radius of curvature of the mirror. Given that the radius of curvature of the mirror mentioned in your question is 4.20 m, its focal length would be 2.10 m.

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