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From ground level to the tip of the torch the Statue of Liberty and its pedestal are 92.99 meters tall. The pedestal is 0.89 meter taller than the statue. How tall is the Statue of Liberty?

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Respuesta :

The Statue of Liberty and its pedestal are 92.99 meters tall. The pedestal is 0.89 meter taller than the statue. Let s represent the height of the Statue of Liberty. So, s + 0.89 represents the height of the pedestal. Equation: s + (s + 0.89) = 92.99 s + (s + 0.89) = 92.99 2s + 0.89 = 92.99 – 0.89 = – 0.89 2s = 92.10 s = 46.05 The Statue of Liberty is 46.05 meters tall.

The height of the Statue of Liberty is 46.05 meters.

Given:

The total length of the Statue of Liberty and its pedestal is 92.99 meters.

The pedestal is 0.89 meters taller than the statue.  

To find:

The length of the statue.

Explanation:

Let [tex]x[/tex] be the length of the statue. Then, the length of its pedestal is [tex]x+0.89[/tex] meters.

[tex]x+(x+0.89)=92.99[/tex]

[tex]2x+0.89=92.99[/tex]

[tex]2x=92.99-0.89[/tex]

[tex]2x=92.1[/tex]

Divide both sides by 2.

[tex]\dfrac{2x}{2}=\dfrac{92.1}{2}[/tex]

[tex]x=46.05[/tex]

Therefore, the height of the Statue of Liberty is 46.05 meters.

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