Finding Distances and Missing Sides in Right Triangles

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. How long is the ladder?

• 12 feet

• 10 feet

• 5 feet

• 8 feet

Two friends are standing 10 meters apart on a flat field. One friend walks 6 meters north, and the other walks 8 meters east. How far apart are they now?

• 12 meters

• 5 meters

• 10 meters

• 15 meters

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

• 15 cm

• 17 cm

• 13 cm

• 10 cm

A rectangular park has a length of 40 meters and a width of 30 meters. What is the distance from one corner of the park to the opposite corner?

• 70 meters

• 40 meters

• 30 meters

• 50 meters

A kite is flying at a height of 15 meters. If the string is 20 meters long, how far is the kite from the point on the ground directly below it?

• 13.23 meters

• 17 meters

• 10 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?

• 45√2 feet

• 90 feet

• 180 feet

• 90√2 feet

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

• 8 inches

• 10 inches

• 6 inches

• 12 inches

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

• 4 blocks

• 7 blocks

• 5 blocks

• 6 blocks

A triangular garden has one side measuring 7 feet and another side measuring 24 feet. If the angle between these two sides is a right angle, what is the length of the third side?

• 20 feet

• 15 feet

• 25 feet

• 30 feet

A drone is flying at a height of 10 meters and is 24 meters away horizontally from the operator. What is the straight-line distance from the operator to the drone?

• 20 meters

• 30 meters

• 15 meters

• 26 meters