11.1B Pythagorean Theorem Applications

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 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

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in

• 12.4 in

• 13.6 in

• 14.3 in

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

A 12 foot ladder leans against the side of a house. The bottom of the latter is 8ft from the side of the house. How high is the top if the ladder from the ground.

• The top of the ladder is 8.9 ft from the ground

• The top of the ladder is 9.2 ft from the ground

• The top of the ladder is 16.5 ft from the ground

• The top o the ladder is 14.4 ft from the ground