Pythagorean Theorem in Real World and Coordinate Plane

A group of boys are building a skate ramp onto the side of a concrete ledge. The concrete ledge is 4 feet tall. If the board they are using is 6 feet long, how many feet from the concrete will the end of the board reach?

• 5 feet

• 7.2 feet

• 8 feet

• 4.5 feet

Tags

CCSS.8.G.B.8

A fireman leans a ladder that is 13 feet long against a tree. The base of the ladder is 5 feet from the base of the tree. How far up the tree will the ladder reach? 

• 13.9 feet
• 12 feet
• 4.2 feet
• 18 feet

Tags

CCSS.8.G.B.8

Televisions are measured by the length of their diagonal. The TV is advertised as being 36 inches and you measure the length to be 30 inches. What is the height of the TV?

• 46.9 inches
• 8.1 inches
• 19.9 inches
• 32.9 inches

Tags

CCSS.8.G.B.8

On a baseball diamond (which is just a square turned on its corner), the distance from home plate to first base is 90 feet. How far would someone have to throw a baseball to make it from second base to home plate?

• 99.49 feet
• 90 feet
• 127.28 feet
• 13.42 feet

Tags

CCSS.8.G.B.8

Find the distance between J and K.

• 8.2
• 7.7
• 9
• 10.2

Tags

CCSS.HSG.GPE.B.7

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Tags

CCSS.HSG.GPE.B.7

A coordinate plane is shown with labeled points.

What is the distance between point A and point B on the coordinate plane?

• 5

• 6

• 10

• 14

Tags

CCSS.6.NS.C.8

Find the distance between the 2 points. Round to the nearest hundredth.

• 3 
• 2.23
• 2.24
• 2.2

Tags

CCSS.HSG.GPE.B.7

A boat at sea drops its anchor. The rope tied to the anchor is 25 feet long. If sea floor is 20 feet below, how far in any direction can the boat drift?

• 32.01 feet
• 15 feet
• 6.71 feet
• 2.24 feet

Tags

CCSS.HSG.SRT.C.8

Calculate the distance between Points A and B.

• 7.1
• 7.8
• 4.5
• 9.2

Tags

CCSS.HSG.GPE.B.7