A 13 Ft. Ladder Is Leaning Against The Wall. The Base Of The Ladder Is 5 Ft. From The Wall.How High Up The Wall Does The Ladder Reach?

a 13 ft. ladder is leaning against the wall. the base of the ladder is 5 ft. from the wall.how high up the wall does the ladder reach?

 

Answer: 12 ft

Step-by-step explanation:

To get the height of the ladder from the wall, you use pythagorean theorem.

Let be the length of the ladder be c, the base of the ladder be a and the height from the top of the ladder to the ground be

c^2=a^2+b^2

13^2= 5^2 + b^2

169=25+b^2

169-25= b^2

144=b^2

√144=√b^2

12=