Pythagorean Theorem Applications

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

• 12.4 feet

• 10 feet

• 11.6 feet

• 10.6 feet

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

What is the diagonal length of the iPad?

• 9.2 in

• 11 in

• 13 in

• 9.6 in

A sailing ship sails 46 km North and then 74 km East. How far is the ship from its starting point to the nearest km?

• 67 km

• 58 km

• 85 km

• 87 km

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 23 feet

• 26 feet

• 27 feet

• 22 feet

What is the distance between the person and the top of the tree?

• 1000ft

• 100ft

• 42.7ft

• 31.6ft

Which equation can be used to solve for "x"?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²