Question

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 1

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

Answer 2

The ladder will reach 8 feet

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