The foot of a ladder is placed 6 feet from the wall. The ladder is a 10-foot ladder. How far up the wall will it reach?

Answer:
The ladder will reach 8 feet
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 10^2
a^2 + 36 = 100
-36 -36
a^2=64
square root both sides
a=8 feet
Answer: 8 feet
Step-by-step explanation:
Let 6 represent the distance between the ladder and the wall.
Let 10 represent how long the ladder is
Use the Pythagorean Theorem
a2+b2=c2
To form a right triangle 6 and b (what we’re trying to find) form the 90° angle. The hypotenuse is 10
So 6 squared + b squared = 10 squared
6 squared = 36 b squared = b squared 10 squared = 100
100-36=64
The square root of b squared = b
The square root of 64 = 8
FINAL ANSWER = 8 FEET