26. Five mark example problem III

A ladder \(17\) feet long is learning against a wall. If the ladder, vertical wall and the floor from the bottom of the wall to the ladder form a right triangle, find the height of the wall where the top of the ladder meets if the distance between bottom of the wall to bottom of the ladder is \(7\) feet less than the height of the wall?

 

Answer:

 

The height of the wall \(=\)  feet.