Pythagorean Theorem

A 25.5 foot ladder rests against the side of a house at a point 24.1 feet above the ground. The foot of the ladder is a feet from the house. Find the value of a to one decimal place.

• 1.9

• 8.3

• 7.0

• 10.1

Tags

CCSS.8.G.B.7

A cable 27 feet long runs from the top of a utility pole to a point on the ground 17 feet from the base of the pole. How tall is the utility pole?

• 31.91

• 22

• 20.98

• 10

Tags

CCSS.8.G.B.8

A telephone pole breaks and falls as shown. To the nearest foot, what was the original height of the pole?

• 19

• 18

• 16

• 11

Tags

CCSS.8.G.B.8

To get to the store from his house, Dustin biked 9 kilometers due west and then 12 kilometers due north. On the way back he cut across a field, taking the shortest possible route home. How far is it from the store to Dustin’s home using the shortcut?

• 42

• 36

• 21

• 15

Tags

CCSS.8.G.B.8

If the hypotenuse of a right triangle measures 10 meters and the shortest leg of the triangle is 6 meters, what is the measurement, in meters, of the longer leg?

• 4

• 6

• 8

• 16

Tags

CCSS.8.G.B.7

A telephone pole support cable attaches to the pole 20 feet high. If the cable is 25 feet long, how far from the bottom of the pole does the cable attach to the ground?

• 32

• 6.7

• 15

• 20

Tags

CCSS.8.G.B.7

Tara leaned a 20 foot ladder against the house. The bottom of the ladder is 8 feet from the house. How high up the side of the house is the top of the ladder?

• 18.3

• 21.5

• 5.3

• 12.4

Tags

CCSS.8.G.B.8

The size of a television screen is given by the length of the diagonal of the screen. What size is a television screen that is 21.6 inches wide and 16.2 inches high?

• 14

• 37.8

• 14.3

• 27

Tags

CCSS.8.G.B.8

The mobile phone company is anchoring wires to the top of their 1200 ft high communication towers. The cable for the support wire is 1300 ft long. How far from the base of the tower will the support cable be anchored?

• 1769

• 500

• 200

• 1050

Tags

CCSS.8.G.B.8

Jackson is 54 miles east from Lazy R Resort. Ontario is 31 miles south of Jackson. A land developer proposes building a shortcut road to directly connect Ontario and Lazy R. About how many miles will it be to drive directly from Ontario to the Lazy R?

• 1955

• 44.2

• 62.3

• 977.5

Tags

CCSS.8.G.B.8