Question

a 20 feet ladder leans against a wall at height of 16 feet from the ground how far is the base of the ladder from the wall​

Answer 1

12 is the base or the distance between wall and ladder

Answer 2

The base of the ladder from the wall​ is 12 feet.

Step-by-step explanation:

Given : A 20 feet ladder leans against a wall at height of 16 feet from the ground.

To find : How far is the base of the ladder from the wall​ ?

Solution :

Let the wall and ladder form a right angle triangle,

Refer the attached figure below.

Where,

Length of the ladder AB=20 feet

A wall height is BC=16 feet

Let the base of the ladder from the wall​ be CA=x

Applying Pythagorean theorem,

$AB^2=BC^2+CA^2$

$20^2=16^2+x^2$

$400=256+x^2$

$x^2=400-256$

$x^2=144$

$x=12$

Therefore, the base of the ladder from the wall​ is 12 feet.

#Learn more

A 15-foot ladder rests against a wall. The base of the ladder is 8 feet from the wall. How far is the top of the ladder from the ground?

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