192k views
5 votes
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?

The foot of a ladder is placed 6 feet from the wall. The ladder is a 10-foot ladder-example-1
User Zsquare
by
8.8k points

2 Answers

6 votes

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

User Elango
by
8.4k points
6 votes

Answer:

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

User Fawzib
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories