Real-World Pythagorean Problems: Find the Lengths!

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

• 14 feet

• 8 feet

• 12 feet

A rectangular park has a length of 30 meters and a width of 40 meters. What is the distance between two opposite corners of the park?

• 70 meters

• 40 meters

• 60 meters

• 50 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

• 10 cm

• 13 cm

• 17 cm

A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base?

• 180 feet

• 90√2 feet

• 45√2 feet

• 90 feet

A 15-foot tall tree casts a shadow that is 9 feet long. If you stand 12 feet away from the base of the tree, how far are you from the top of the tree?

• 9 feet

• 12 feet

• 15 feet

• Approximately 19.2 feet

A ramp is built to help wheelchair access. If the ramp rises 4 feet over a horizontal distance of 3 feet, what is the length of the ramp?

• 4 feet

• 3 feet

• 6 feet

• 5 feet

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

• 8 inches

• 10 inches

• 12 inches

• 6 inches

A swimming pool is rectangular, measuring 20 meters by 15 meters. What is the diagonal distance across the pool?

• 25 meters

• 30 meters

• 18 meters

• 22 meters

A kite is flying at a height of 30 meters and is 40 meters away from the point directly below it. How long is the string of the kite?

• 50 meters

• 40 meters

• 60 meters

• 30 meters

A triangular garden has one side measuring 7 meters and another side measuring 24 meters. What is the length of the third side if it forms a right triangle?

• 20 meters

• 22 meters

• 25 meters

• 30 meters