Pythagorean Applications in Real World

A ladder is leaning against a wall. If the ladder is 10 meters long and the base of the ladder is 6 meters away from the wall, how far is the top of the ladder from the ground?

• 12 meters

• 5 meters

• 15 meters

• 8 meters

A right triangle has sides of length 5 cm, 12 cm, and x cm. What is the length of the missing side?

• 8 cm

• 15 cm

• 13 cm

• 10 cm

A person walks 8 km east and then 6 km north. How far is the person from the starting point?

• 12 km

• 10 km

• 5 km

• 14 km

A swimming pool is in the shape of a rectangle with sides of length 20 meters and 15 meters. What is the length of the diagonal of the pool?

• 18 meters

• 25 meters

• 30 meters

• 22 meters

A wire is stretched from the top of a 10-meter pole to a point on the ground 8 meters from the base of the pole. How long is the wire?

• 12.81 meters

• 7.29 meters

• 15.5 meters

• 10.63 meters

A right triangle has a hypotenuse of length 17 cm and one leg of length 8 cm. What is the length of the other leg?

• 10 cm

• 12 cm

• 20 cm

• 15 cm

A ladder is leaning against a wall. If the ladder is 15 feet long and the base of the ladder is 9 feet away from the wall, how high up the wall does the ladder reach?

• 16 feet

• 12 feet

• 14 feet

• 10 feet

A right triangle has sides of length 7 cm, 24 cm, and x cm. What is the length of the missing side?

• 10 cm

• 15 cm

• 25 cm

• 30 cm

An airplane flies 500 km east and then 300 km north. How far is the airplane from the starting point?

• 583.1 km

• 800 km

• 700 km

• 400 km

A building is 40 meters long, 30 meters wide, and 20 meters high. What is the length of the diagonal of the building?

• 60.32 meters

• 53.85 meters

• 35.41 meters

• 45.28 meters