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Answer :
92.99= x+(x+.89)
your answer is 46.05
your answer is 46.05
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Final answer:
To find the height of the Statue of Liberty, we set up an equation considering the total height of the pedestal and the height difference between the statue and the pedestal. Solving the system of linear equations, we determine that the height of the Statue of Liberty itself is 46.05 meters.
Explanation:
To find how tall the Statue of Liberty is, excluding its pedestal, we can set up an equation based on the information given. Let's denote the height of the Statue of Liberty as S, and the height of the pedestal as P.
We know that the total height of the Statue of Liberty and its pedestal is 92.99 meters, and we can express that as:
S + P = 92.99
Additionally, it is given that the pedestal is 0.89 meters taller than the Statue of Liberty, so we have:
P = S + 0.89
Using substitution, we can replace P in the first equation with S + 0.89:
S + (S + 0.89) = 92.99
This simplifies to:
2S + 0.89 = 92.99
To find the height of the Statue of Liberty (S), we subtract 0.89 from both sides of the equation:
2S = 92.99 - 0.89
2S = 92.10
And then we divide both sides by 2 to solve for S:
S = 92.10 / 2
S = 46.05
So, the height of the Statue of Liberty itself is 46.05 meters.
