+0  
 
0
793
1
avatar

When the sun casts shadows on different objects at the same time it creates similar right triangles. Examines the similar triangles below: 

 

How tall is the tree?

What is the Scale Factor from the tree to the person?

What is the Scale Factor from the person to the tree?

 Apr 29, 2016
 #1
avatar+130516 
0

The height, h,  is given by :

 

6/9 = h/ 24      cross-multiply

 

24*6 = 9h

 

144  = 9h      divide both sides by 9

 

16  = h

 

The scale factor from the height of the tree to the height of the person = 6/16  = 3/8

 

The scale factor from the height of the person to the height of the tree  = 16/6 = 8/3

 

 

 

cool cool cool

 Apr 29, 2016

2 Online Users