Pythagorean Adventures: Real Numbers & Absolute Values

A ladder is leaning against a wall. The base of the ladder is 4 feet away from the wall, and the ladder reaches a height of 3 feet on the wall. How long is the ladder?

• 4 feet

• 5 feet

• 3.5 feet

• 6 feet

A rectangular park has a length of 10 meters and a width of 6 meters. What is the distance between two opposite corners of the park?

• 12 meters

• 15 meters

• 11.66 meters

• 9 meters

A hiker walks 5 miles north and then 12 miles east. How far is the hiker from the starting point?

• 8 miles

• 15 miles

• 10 miles

• 13 miles

A triangle has one side measuring 8 cm and another side measuring 6 cm. If the angle between these two sides is a right angle, what is the length of the hypotenuse?

• 12 cm

• 14 cm

• 8 cm

• 10 cm

A car travels 60 miles south and then 80 miles east. What is the straight-line distance from the starting point to the car's final position?

• 70 miles

• 120 miles

• 90 miles

• 100 miles

The temperature dropped from 15 degrees Celsius to -5 degrees Celsius. What is the absolute value of the change in temperature?

• 0 degrees

• 25 degrees

• 20 degrees

• 10 degrees

A rectangular garden is 9 feet long and 12 feet wide. What is the diagonal length of the garden?

• 10 feet

• 15 feet

• 13 feet

• 18 feet

A person is standing 7 feet above sea level and dives down to a depth of 3 feet below sea level. What is the absolute value of the person's change in elevation?

• 12 feet

• 5 feet

• 10 feet

• 8 feet

A right triangle has legs measuring 9 inches and 12 inches. What is the length of the hypotenuse?

• 18 inches

• 14 inches

• 15 inches

• 10 inches

A drone flies 10 meters up and then moves 24 meters horizontally. What is the straight-line distance from the starting point to the drone's position?

• 30 meters

• 15 meters

• 20 meters

• 26 meters