A 5.9-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?

Respuesta :

Answer:

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;

[tex]\frac{\text{Height of a boy}}{\text{Distance of a boy from the mirror}}= \frac{\text{Height of a statues}}{\text{Distance of mirror from the base of the statue} }[/tex]

Substitute the given values we have;

[tex]\frac{5.9}{7} =\frac{12}{x}[/tex]

By cross multiply we have;

[tex]5.9x = 84[/tex]

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.

Ver imagen OrethaWilkison
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