A5.9-foot-tall-man stands near a 12-foot statue. the man places a mirror on the ground a certain distance from the base of the statue, and then stands another 7 feet from the mirror to see the top of the statue in it. how far is the mirror from the base of the statue?

14.24 foot far is the mirror from the base of the statue.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement:

See the diagram as shown below:

Height of a boy = 5.9 foot tall

Height of a statue = 12 foot.

Distance of a boy from the mirror  = 7 feet.

Let x be the distance of the mirror from the base of the statue.

then by definition of proportion we have;

Substitute the given values we have;

By cross multiply we have;

Divide both sides by 5.9 we have;

x = 14.24 ft

Therefore, 14.24 foot far is the mirror from the base of the statue.

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