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.
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:
There will be nights when you get more sleep or less sleep than usual, but overall, they will not be far away from the rest of the data you're comparing.