the bottom of a ladder must be placed 7 ft from a wall the ladder 19 feet how far above the ground dose ladder touch the wall

Distance between bottom of the wall and bottom of the ladder = 7 ft

Length of the ladder = 19 ft

Let the distance between the ground and top of the ladder be x

Using Pythagoras theorem,

x^2 + 7^2 = 19^2

x^2 + 49 = 361

x^2 = 312

Therefore x = √312 = 2√78 ft