Question

If you place a 26-foot ladder against the top of a 10-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

Answer 1

24 foot

Explanation:

We are given that

Length of ladder=26 foot

Height of building=10 foot

We have to find the distance between the bottom of ladder and the bottom of building.

Pythagorus theorem:

`(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2`

We have hypotenuse =AC=26 foot

Perpendicular side =AB=10 foot

Base=BC

Substitute the values in the given formula

`(26)^2=(10)^2+(BC)^2`

`676=100+(BC)^2`

`(BC)^2=676-100=576`

`BC=√(576)=24` (Take positive because length is always positive)

BC=24 foot

Hence, the bottom of the ladder will be 24 foot from the bottom of the building.