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Answer :
Final answer:
To calculate the altitude of the hill, we apply the Pythagorean Theorem, treating the elevation and the slope distance as the legs of a right-angled triangle. Upon calculating, we find that the altitude is 1500.67 meters, which doesn't match any of the provided choices, indicating a potential error in the question.
Explanation:
The question concerns the relationship between the elevation, the slope distance, and the altitude of a hill. These concepts can be addressed using the Pythagorean Theorem for right-angled triangles.
Given the elevation from the ground of 45 meters and the distance down the slope of 1500 meters, these values represent the two legs of a right-angled triangle, with the altitude of the hill being the hypotenuse.
The application of the Pythagorean Theorem (a² + b² = c²) allows for the calculation of the hill's altitude (c).
Since we're looking for the hypotenuse, we rearrange the theorem to c = √(a² + b²), where a is the elevation from the ground, and b is the distance down the slope. To find the altitude of the hill:
Altitude (c) = √(45² + 1500²) = √(2025 + 2250000) = √(2252025) = 1500.67 meters
It appears there might have been a misunderstanding or typographical error in the choices provided, as they don't match the calculated altitude.
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