Question

mr. rizzo placed a ladder 35 feet from a window 15 feet above the ground when a window was 5 feet from the wall. find the length of the ladder to the nearest tenth foot.

Explanation:

Step1: Identify the right - triangle

The situation forms a right - triangle. The height of the window above the ground (\(a = 15\) feet) and the distance of the base of the ladder from the wall (\(b=5\) feet) are the two legs of the right - triangle, and the length of the ladder (\(c\)) is the hypotenuse.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 15\) and \(b = 5\) into the formula:

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Answer:

The length of the ladder is approximately \(15.8\) feet.