Length of a ladder and the Pythagorean theorem

by Anonymous

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18 ft. Find the length of the ladder if the length is 6 ft more than its distance from the wall.

Let d be the distance from the wall, then d + 6 is the length of the ladder as shown in the picture above.

Using the Pythagorean theorem, we get:

(d + 6)2 = d2 + 182

d2 + 12d + 36 = d2 + 182

12d + 36 = 324

12d = 324 - 36

12d = 288

d = 288/12

d = 24

Since d + 6 = 24 + 6 = 30, the length of the ladder is 30.

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Geometry word problems.

Recent Articles

  1. Introduction to Physics

    Nov 18, 20 01:20 PM

    Top-notch introduction to physics. One stop resource to a deep understanding of important concepts in physics

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

                                 Follow me on Pinterest

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.