Pythagorean Theorem and Distance Formula in 3D Solids

Using the distance formula, find the distance from point (1,2) to point (5,4)

• 4

• 45

• 4.5

• 5.4

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16

Find the distance using the distance formula, find the distance from point (1,4) and (3,2)

• 2.8

• 8.2

• 28

• 2

The diagram below shows a telephone pole supported by a guide wire. The telephone pole is 40 feet tall and the bottom of the guide wire is 12 feet from the base of the pole.  

How long is the guide wire?

Nearest tenth

Mathematical Equivalence

ON

The value of d is ​ (a)   .

• 218 inches

Which value BEST represents the length of line AB?

• 8 units

• 12 units

• 15 units

• 21 units

The distance from Megan to the point on the ground directly below the kite is ​ ​ (a)   ​ ​ ​​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

• 80 yd

• 60 yds

• 240 yd

• 120 yd

During a recent storm, a tree was blown over. The top of the tree landed 18 feet from the bottom of the tree.  

Which is the closest to the original height of the tree?

Nearest whole number

Mathematical Equivalence

ON

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

Mathematical Equivalence

ON

Tags

8.7.C