Question

If you place a 34-foot ladder against the top of a 30-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

Answer 1

Answer:

16

Step-by-step explanation:

Took it on delta math

Answer 2

Answer:

It is 16 feet from the bottom of the building

Step-by-step explanation:

Let the bottom of the ladder be x feet from the bottom of the building.

Note that the length of the ladder becomes the hypotenuse.

Then using Pythagoras theorem,

${34}^{2} = {x}^{2} + {30}^{2}$

We solve for x,

${34}^{2} - {30}^{2} = {x}^{2}$

$256 = {x}^{2}$

$x = \sqrt{256} = 16$

Therefore 16 feet from the bottom of the building