Question

If you place a 50-foot ladder against the top of a 14-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

Answer 1

The measure of bottom of ladder from bottom of building is 48 .

Explanation:

Given as :

The length of the ladder = l = 50 foot

The height of the building = h = 14 foot

Let The measure of bottom of ladder from bottom of building = x foot

Now from figure

The figure is of right angled triangle

So,

Hypotenuse² = perpendicular² + base²

Or, OB² = AB² + OA²

Or, OA² = OB² - AB²

Or, x² = (50)² - (14)²

Or, x² = 2500 - 196

Or, x² = 2304

∴ x =
`√(2304)`

I.e x = 48

So,The measure of bottom of ladder from bottom of building = x = OA = 48 foot .

Hence, The measure of bottom of ladder from bottom of building is 48 . Answer