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The original height of the Leaning Tower of Pisa was 184.5 feet. At a distance of 140 feet from the base of the tower, the angle of elevation from the ground to the top of the tower is 59 degrees. How far is the tower leaning from the original vertical position?

A. 7.4 feet
B. 9.6 feet
C. 7.8 feet
D. 9.1 feet

Answer :

Final answer:

Using trigonometry, we find that the Tower of Pisa is leaning approximately 9.1 feet from the original vertical position.

Explanation:

To find how far the Tower of Pisa is leaning from the original vertical position, we need to use trigonometry. Given the height of the tower (184.5 feet), the distance from the base where the angle of elevation is measured (140 feet), and the angle of elevation (59 degrees), we can calculate the distance that the tower is leaning. Using the tangent function: tan(59 degrees) = (184.5 - x) / 140, where x is the distance the tower is leaning. Solving this equation gives x ≈ 9.1 feet.

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Rewritten by : Barada

The answer is D. 9.1