234k views
4 votes
A 25​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder​ reach?

1 Answer

1 vote

Answer:

b = 21.93

Explanation:

This can be solved using Pythagorean theorem. Basically your hypotenuse or c is the length of the ladder, your base or a value is 12 and you're trying to find the height of the wall which is your b


a^2 + b^2 = c^2\\c^2 - a^2 = b^2\\(25)^2 - (12)^2 = b^2\\625 - 144 = b^2\\b= √(481) \\b = 21.93...\\b = 21.93

User Noman Amir
by
7.7k points