Mastering Distance and Hypotenuse in Word Problems

A ladder is leaning against a wall. The base of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet. What is the length of the ladder?

• 12 feet

• 10 feet

• 8 feet

• 14 feet

A rectangular park has a length of 10 meters and a width of 24 meters. What is the distance from one corner of the park to the opposite corner?

• 22 meters

• 30 meters

• 20 meters

• 26 meters

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

• 10 cm

• 13 cm

• 15 cm

• 17 cm

A drone is flying 5 meters above the ground and is 12 meters away horizontally from its starting point. How far is the drone from its starting point?

• 13 meters

• 10 meters

• 12 meters

• 15 meters

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

• 90 feet

• 45√2 feet

• 180 feet

• 90√2 feet

A person walks 3 miles east and then 4 miles north. How far are they from their starting point?

• 4 miles

• 7 miles

• 6 miles

• 5 miles

A right triangle has legs measuring 7 inches and 24 inches. Find the length of the hypotenuse.

• 26 inches

• 25 inches

• 30 inches

• 20 inches

A cable is stretched from the top of a 15-foot pole to a point on the ground 9 feet away from the base of the pole. What is the length of the cable?

• 15.00 feet

• 17.49 feet

• 12.00 feet

• 20.00 feet

A rectangular swimming pool is 30 feet long and 40 feet wide. What is the distance from one corner of the pool to the opposite corner?

• 50 feet

• 40 feet

• 30 feet

• 70 feet

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

• 15 cm

• 8 cm

• 12 cm

• 10 cm