Question

The diagram shows a 20-foot ladder leaning against a brick wall.

Wall
Which measurement is closest to x, the distance in
feet from the base of the wall to the bottom of the
ladder?
F. 0.4 ft
G. 0 9 ft
H. 2.0 ft
J. 4.0 ft
​

Answer 1

Step-by-step explanation:if the diagram shows 20 foot you goona need to do root square by then you need to symplify the whoole solution there for THE ANSWER IS :J 4.0ft

Answer 2

The distance in feet from the base of the wall to the bottom of the ladder is J. 4.0 ft.

Explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the longest side of a right-angled triangle and is the side opposite to the right angle.

The hypotenuse measures 20 feet. The other two sides measure 19.6 feet and x feet.

Step 2:

Substituting the values we know, we get

`20^(2) = 19.6^(2) + x^(2) .`

`x^(2) = 20^(2) - 19.6^(2).`

`x^(2) = 15.84, x = √(15.84).`

`x = 3.9799.`

This value is closest to the value of 4.0 ft which is option J.