93.9k views
0 votes
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?

1 Answer

3 votes

Answer:

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

If you place a 50-foot ladder against the top of a 14-foot building, how many feet-example-1
User SirLisko
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories