Pythagorean Applications

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

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

Ashley is building a garden and she wants it to be 40' long. She knows that the diagonal measure of the plot is 50'. What is the width?

• 30 feet

• 50 feet

• 40 feet

• 20 feet

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 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

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

Find the missing side length. Type your answer as a number. Round to the nearest tenth if necessary.

Find the missing side length. Type your answer as a number. Round to the nearest tenth if necessary.

• 7 km

• 2.6 km

• 1 km

• 5 km