Pythagorean Theorem and 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.

• The ladder will reach about 11.4 feet up the wall.

• The ladder will reach about 11.3 feet up the wall.

• The ladder will reach about 12.6 feet up the wall.

• The ladder will reach about 11.9 feet up the wall.

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.

• The two ships are 75 miles apart.

• The two ships are 93 miles apart.

• The two ships are 68.9 miles apart.

• The two ships are 51 miles apart.

Gina cut an 8 inch by 10 inch piece of paper into two equal-sized right triangles. What is the length of the hypotenuse of each triangle? Round your answer to the nearest tenth.

• The hypotenuse is about 12.5 inches.

• The hypotenuse is about 12.7 inches.

• The hypotenuse is about 12.8 inches.

• The hypotenuse is about 12.9 inches.

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

• 15.5 units

• 17.5 units

• 13 units

• 17.4 units

Jarvis drives due North for 32 miles then drives East 17 miles. How far is Jarvis from his starting point? Round to the nearest tenth if necessary. (hint: we are looking for "c")

• 36.2 miles

• 63.3 miles

• 49.2 miles

• 15.6 miles

Use the Pythagorean Theorem to find XY. Leave the answer in simplest radical form. X(2,3) Y(-8,-1)

• 10.8

Find the distance between (2,3) & (4,1) Plot points and use pythagorean theorem.

• 3

• 5.66

• 2.83

• 2.79

Use the Pythagorean Theorem to find XY. Leave the answer in simplest radical form. X(0,-5) Y(-7,4)

• 11.4

Which value BEST represents the length of line AB?

• 8 units

• 12 units

• 15 units

• 21 units

You need a ladder that will reach the top of a 25 foot house when placed 10 feet away from the house.  How tall does the ladder need to be?

• 25 feet

• 28 feet

• 26 feet

• 27 feet