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Answer :
Final answer:
The question was a problem of Pythagorean theorem. By finding the hypotenuse from the distance of the statue to Pete and using it to subtract Pete's estimated height, we've determined that the statue is approximately 2.1 meters taller than Pete.
Explanation:
This is a question related to the application of the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the distance from Pete to the statue (5 meters) and the distance from Pete's head to the top of the statue (7 meters) forms a right triangle. So, we can set up the equation 5^2 + height^2 = 7^2 to solve for the height of Pete.
Solving for the height gives us √(7^2 - 5^2) = √(49 - 25) = √24 ≈ 4.9 meters. Therefore, the height of Pete is approximately 4.9 meters. The statue's height above Pete's line of sight is therefore the difference between 7 meters and 4.9 meters, that is, 2.1 meters. This means that the statue is 2.1 meters taller than Pete.
Learn more about Pythagorean theorem here:
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