A 11-foot ladder is placed against a vertical wall of a building , with the bottom of the ladder standing on level ground 7 feet from the base of the building.How high up the wall does the ladder reach?

Respuesta :

Answer:

Step-by-step explanation:

Use Pythagorean's Theorem:

[tex]a^2+b^2=c^2[/tex]

'a' and 'b' are the sides while 'c' is the hypotenuse

[tex]7^2+x^2=11^2\\49+x^2=121\\x^2=72\\x=\sqrt{72}=3\sqrt{8}[/tex]