Mastering Pythagorean Problems and Word Interpretations

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. What is the length of the ladder?

• 8 feet

• 12 feet

• 14 feet

• 10 feet

A rectangular garden has a length of 10 meters and a width of 6 meters. If you want to plant a diagonal flower bed from one corner to the opposite corner, how long will the flower bed be?

• 12.00 meters

• 9.00 meters

• 10.50 meters

• 11.66 meters

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

• 13 cm

• 15 cm

• 10 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 feet

• 90√2 feet

• 45√2 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 tall is the triangle formed by the tree, the ground, and the line from the top of the tree to the tip of the shadow?

• 15 feet

• 12 feet

• 9 feet

• 18 feet

A ramp is built to help wheelchair access to a building. If the ramp is 20 feet long and rises to a height of 4 feet, what is the horizontal distance from the base of the ramp to the building?

• 18 feet

• 15 feet

• 22 feet

• 19.6 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

• 12 cm

• 8 cm

• 6 cm

A swimming pool is rectangular and has a length of 25 meters and a width of 10 meters. If you want to swim diagonally from one corner to the opposite corner, how far will you swim?

• 26.93 meters

• 30.00 meters

• 20.00 meters

• 24.00 meters

A kite is flying at a height of 30 meters. If the string of the kite is 50 meters long, how far is the kite from the point directly below it on the ground?

• 40 meters

• 20 meters

• 60 meters

• 30 meters

A triangular park has one side measuring 7 meters and another side measuring 24 meters. If you want to find the length of the third side, what is the maximum possible length of that side?

• 20 meters

• 30 meters

• 25 meters

• 35 meters