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[No Calculator] A tree casts a shadow approxiamtely 24 feet long when the sun's rays form a 30o angle with the earth. How tall is the tree?

AdamTaurus  Jan 17, 2018
 #1
avatar+92857 
+1

We  can use the tangent here

 

tan 30  =  H  / 24      where H is the tree height

 

1/ √ 3  =  H  / 24      multiply each side by 24

 

24/√ 3  ft   =  H  ≈ 13.86 ft  

 

 

cool cool cool

CPhill  Jan 17, 2018

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