Question

a window needs to be replaced that is 7 feet high. if a ladder is placed 24 feet from the base of the window, how long must the ladder be to reach the window? the ladder must be feet long. check answer remaining attempts 3

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 7\) (height of window), \(b=24\) (distance from base). The formula is \(c=\sqrt{a^{2}+b^{2}}\).

Step2: Calculate \(a^{2}+b^{2}\)

\(a^{2}=7^{2}=49\), \(b^{2}=24^{2}=576\). Then \(a^{2}+b^{2}=49 + 576=625\).

Step3: Find \(c\)

\(c=\sqrt{625}=25\).

Answer:

25