Distance Formula Word Problems

Gene has a 12 foot ladder. Safety instructions recommend that the base of the ladder must be 4 feet from the base of the wall. How far up the wall will the ladder reach? Round to the nearest tenth if needed.

Owen walks to school each day. He travels 12 blocks west and then 9 blocks north. If he could walk on a path directly from his house to school, what would be the length of his walk in blocks?

Two ships leave from the same port. One travels east 21 miles and the other travels 72 miles south. Determine the distance between the two ships.

Find the distance between points (6, 2) and (1, 14). Round to the nearest tenth if necessary.

How long is the line connecting (-5,6) and (1,-2)?

What is the distance between the points (–20,20) and (20,–20)?

What's the distance between (0,0) and (3,4)

Find the distance.

Find the distance between (-4, 5) and (7, 18).