Applications of Pythagorean Theorem

Tori just bought a new laptop. The laptop screen has a width of 24 inches and a height of 10 inches. What is the length of the diagonal of the laptop screen?

• 18 inches

• 26 inches

• 36 inches

• 29 inches

Marcus made a sandwich that is 6 inches long and 4 inches wide. If he cuts the sandwich in half diagonally as seen in the image, what would the diagonal length of the sandwich be? Round your answer to the nearest tenth.

• 7.2 inches

• 7.3 inches

• 6.4 inches

• 9 inches

A baseball diamond has four bases, including home plate, 1st base, 2nd base and 3rd base. The distance between home plate and 1st base is 90 feet, and the distance between 1st base and 2nd base is also 90 feet. What is the distance between home plate and 2nd base? Round your answer to the nearest tenth.

• 117.4 feet

• 180 feet

• 132.1 feet

• 127.3 feet

A building is 24 meters tall. From a point 7 meters away from the base of the building, what is the straight-line distance from the point to the top of the building?

• 18 meters

• 28 meters

• 25 meters

• 27 meters

A kite is flying 40 meters high. The length of the string for the kite is 58 meters. How far is the kite horizontally from the person holding it?

• 44 meters

• 70.5 meters

• 70 meters

• 42 meters

A swimming pool is 12 meters long and 16 meters wide. What is the length of the diagonal from one corner of the pool to the opposite corner?

• 10.6 meters

• 20 meters

• 11 meters

• 20.7 meters

A flagpole is 25 feet tall. A ladder that is 29 feet long is leaning against the flagpole. How far is the bottom of the ladder from the base of the flagpole? Round your answer to the nearest tenth.

• 14.7 feet

• 14.6 feet

• 38.2 feet

• 38.3 feet

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow? Round your answer to the nearest tenth.

• 9 feet
• 6 feet
• 6.7 feet
• 9.7 feet

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A tree fell during a storm and is leaning against a house at a height of 16 feet. If the base of the tree is 9 feet away from the house, what is the length of the tree to the nearest foot?

• A) 25 feet

• B) 13 feet

• C) 18 feet

• D) 16 feet

Tags

CCSS.HSG.SRT.C.8

A new rectangular rug that Alex bought is 72 inches long. If the diagonal length of the rug is 91 inches, what is the width of the rug? Round your answer to the nearest foot.

• 56 inches

• 55 inches

• 5 feet

• 4 feet