To get to his office from home, Greg walks 6 blocks north and then 3 blocks east. After work he meets some friends at a cafe; to get there he walks 3 blocks south and 7 blocks west. All blocks are 660 feet long.

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?