A ladder is leaning against a wall with its base 12 feet away from the wall, making a 45° angle with the ground. What is the length of the ladder?

Question

19-06-2024
Mathematics

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A ladder is leaning against a wall with its base 12 feet away from the wall, making a 45° angle with the ground. What is the length of the ladder?

Answer :

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Final answer:

To find the length of a ladder leaning against a wall, use trigonometric functions based on the given information of the base distance, angle with the ground, and the ladder forming a right triangle.

Explanation:

A ladder leaning against a wall forms a right triangle with the wall and the ground. The ladder acts as the hypotenuse, the base is 12 feet, and the angle with the ground is 45 degrees. By using trigonometric functions, we can determine the length of the ladder as 12 feet * sec(45 degrees).

Learn more about Trigonometry here:

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