A20 foot ladder is resting against the side of the house the base of the latter is 4 feet away from the house approximately how high above the ground is the latter touch the house

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

solve for x

+ 16 = 400

= 384

x = 8√6

or

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8  

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!