A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. How far up the house can the ladder reach?

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.

16 feet

Step-by-step explanation:

the height of the ladder, the distance from the ladder base to the house and the height of the house the ladder will reach will form a triangle, as shown in the image.

To know the height of the house the ladder will reach, we just need to use Pythagorean theorem. Being h the house's height we want, we have:

20^2 = 12^2 + h^2

h^2 = 400 - 144 = 256

h = 16 feet.

80%

step-by-step explanation:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula