Question

A 25-foot ladder is leaning against the side of a house so that the bottom of the ladder is 15 feet from the base of the house. Will the ladder reach a window that is 21.5 feet above the ground?

No, because the ladder will only reach 20 feet high
No, because the ladder will only reach 6 feet high
Yes, because the ladder will reach 20 feet high
Yes, because the ladder will reach 18 feet high

Answer 1

No because the ladder will only reach 20 ft high.


a^2+b^2=c^2

a^2+15^2=25^2

a^2+225=626

a^2=400

(a^2)^2 = (400)^2

a=20

Answer 2

To determine if the ladder will reach a window that is 21.5 feet above the ground, you can use the Pythagorean theorem.

\(15^2 + b^2 = 25^2\), where \(b\) is the height the ladder reaches.

Solving for \(b\), we get \(225 + b^2 = 625\), and \(b^2 = 400\).

So, \(b = 20\).

The ladder will reach 20 feet high. Therefore, the correct statement is: "No, because the ladder will only reach 20 feet high."