Real-Life Right Triangle Challenges for 8th Graders

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?

• 12 feet

• 8 feet

• 10 feet

• 6 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?

• 50 meters

• 40 meters

• 70 meters

• 60 meters

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

• 13 cm

• 15 cm

• 10 cm

• 17 cm

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

• 7 feet

• 6 feet

• 4 feet

• 5 feet

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

• 45√2 feet

• 90 feet

• 180 feet

• 90√2 feet

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 end of the shadow?

• 25 feet

• 20 feet

• 10 feet

• 30 feet

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

• 8 cm

• 15 cm

• 12 cm

A swimming pool is rectangular, measuring 25 meters by 10 meters. What is the diagonal distance across the pool?

• 24 meters

• 26.93 meters

• 30 meters

• 20 meters

A kite is flying at a height of 30 meters, and the string makes a 60-degree angle with the ground. How long is the string?

• 35 meters

• 15 meters

• 20√3 meters

• 25√2 meters

A right triangle is formed by a 7-foot vertical pole and a 24-foot horizontal distance from the base of the pole. What is the length of the wire needed to support the pole?

• 20 feet

• 15 feet

• 30 feet

• 25 feet