Pythagorean Challenges: Real-World Distance Calculations

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

• 8 feet

• 14 feet

• 12 feet

• 10 feet

Two friends are standing at points A and B in a park. Point A is at (2, 3) and point B is at (5, 7). What is the distance between them?

• 7

• 3

• 4

• 5

A rectangular garden has a length of 10 meters and a width of 24 meters. What is the length of the diagonal of the garden?

• 30 meters

• 26 meters

• 20 meters

• 22 meters

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

• 17 cm

• 10 cm

• 13 cm

• 15 cm

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

• 90√2 feet

• 45√2 feet

• 180 feet

• 90 feet

A kite is flying at a height of 30 meters. If the string is pulled taut and makes a 60-degree angle with the ground, how far is the kite from the person holding the string?

• 25√2 meters

• 20√3 meters

• 15 meters

• 30 meters

A swimming pool is rectangular, measuring 15 meters by 20 meters. What is the distance from one corner of the pool to the opposite corner?

• 20 meters

• 30 meters

• 15 meters

• 25 meters

A right triangle has a base of 7 inches and a height of 24 inches. Calculate the length of the hypotenuse.

• 25 inches

• 20 inches

• 15 inches

• 30 inches

A drone is flying 100 meters away from its starting point and 40 meters above the ground. How far is the drone from the starting point?

• 100 meters

• 120 meters

• 80 meters

• 107.7 meters

A park has a walking path that forms a right triangle with one leg measuring 30 meters and the other leg measuring 40 meters. What is the length of the path that connects the two ends of the triangle?

• 40 meters

• 70 meters

• 50 meters

• 60 meters