We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
1030
3
avatar+256 

The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point A. What is the height of the tree? Show all your work, and make sure to include units.

 Feb 15, 2018
 #1
avatar+107 
0

26ft if i think i might be wrong

 Feb 15, 2018
 #2
avatar
+1

Tan(A) = 5/7 =0.714......

5/7 = Height of tree / 28

Height of tree =5/7 x 28 = 20 feet.

 Feb 15, 2018
 #3
avatar+101228 
+2

Another approach here without resorting to Trig is to just use similar triangles.

 

We have that

 

BC / CA   =   EF / FA

 

x / 28  =  5 / 7        multiplt both sides by 28

 

x  =  (28/7) *  5   =   4 * 5   =    20  ft

 

 

cool cool cool

 Feb 15, 2018
edited by CPhill  Feb 15, 2018

12 Online Users

avatar
avatar