Distance Formula

Distance Formula

By Sam R

Multiple Choice

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?

Which equation could be used to solve the problem?

• $$25^2+10^2=c^2$$

• $$25^2+b^2=10^2$$

• $$a^2+10^2=25^2$$

• $$10^2+b^2=25^2$$

Multiple Choice

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?

Which diagram best represents the problem?

Multiple Choice

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Multiple Choice

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

Multiple Choice

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Multiple Choice

Find the direct distance between the court house and the town hall.

• 26
• 6.8
• 10
• 7.2 km

Multiple Choice

Find the distance.

• 7.1
• 7.8
• 8.7
• 8.9

Multiple Choice

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?

• 14 blocks

• 12 blocks

• 10 blocks

• 8.5 blocks

Multiple Choice

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Multiple Choice

Find the distance between ( 1, 3) and (5, 6) 

• 3
• 4
• 5
• 6

Multiple Choice

Find the distance between (3, 24) and (7, 56).

• 32.1
• 32.2
• 32.3
• 32.4

Multiple Choice

What is the distance between (2,9) and (1,5)?

• 15
• 17
• 4.12
• 3.87

Multiple Choice

A(3,1) B(-2,-1) written correctly is:

• $$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$$

• $$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$$

• $$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$

• $$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$

Multiple Choice

How is AB written in the distance formula?

• $$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$$

• $$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$$

• $$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$$

• $$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$$

Multiple Choice

Find the distance between J and K.

• 8.2
• 7.7
• 9
• 10.2

If you finish early....

• Complete 15.1.4 Practice

• Complete 15.2.4 Practice

• Complete 15.3.4 Practice

• Complete 15.3.5 Quiz

Some text here about the topic of discussion