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.