Pythagorean Challenges: Solve for Missing Distances

A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet on the wall. How long is the ladder?

• 10 feet

• 5 feet

• 12 feet

• 8 feet

A rectangular park has a length of 30 meters and a width of 40 meters. What is the distance from one corner of the park to the opposite corner?

• 45 meters

• 60 meters

• 50 meters

• 55 meters

A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?

• 15 cm

• 17 cm

• 13 cm

• 10 cm

A tree casts a shadow that is 15 feet long. If the tree is 20 feet tall, how far is the top of the tree from the tip of the shadow?

• 30 feet

• 20 feet

• 25 feet

• 10 feet

A person walks 3 miles east and then 4 miles north. How far are they from their starting point?

• 4 miles

• 5 miles

• 6 miles

• 7 miles

A right triangle has a hypotenuse of 13 cm and one leg measuring 5 cm. What is the length of the other leg?

• 10 cm

• 6 cm

• 12 cm

• 8 cm

A kite is flying at a height of 10 meters. If the string of the kite is 26 meters long, how far is the kite from the point on the ground directly below it?

• 24 meters

• 15 meters

• 30 meters

• 20 meters

A swimming pool is 12 meters long and 5 meters wide. What is the distance from one corner of the pool to the opposite corner?

• 10 meters

• 13 meters

• 15 meters

• 12 meters

A right triangle has legs measuring 7 inches and 24 inches. What is the length of the hypotenuse?

• 25 inches

• 20 inches

• 15 inches

• 30 inches

A building is 30 feet tall. If a person stands 40 feet away from the base of the building, how far is the top of the building from the person?

• 70 feet

• 30 feet

• 50 feet

• 40 feet