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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.

oscar.a1551  Feb 15, 2018
 #1
avatar+107 
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26ft if i think i might be wrong

foxy02  Feb 15, 2018
 #2
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Tan(A) = 5/7 =0.714......

5/7 = Height of tree / 28

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

Guest Feb 15, 2018
 #3
avatar+92395 
+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

CPhill  Feb 15, 2018
edited by CPhill  Feb 15, 2018

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