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The sun is at an angle of elevation of 58°. A tree casts a shadow 20 meters long on the ground. How tall is the tree?

Guest Jun 13, 2017

Best Answer 

 #1
avatar+7339 
+3

 

Here, the height of the tree is labeled  " t " .

 

Since the tree makes a  90º  angle with the ground, we can say...

 

tan 58º  =  t / 20                                 Multiply both sides of the equation by  20  .

20 tan 58º  =  t                                   Put this into a calculator to get that...

32.007  m  ≈  t

hectictar  Jun 14, 2017
 #1
avatar+7339 
+3
Best Answer

 

Here, the height of the tree is labeled  " t " .

 

Since the tree makes a  90º  angle with the ground, we can say...

 

tan 58º  =  t / 20                                 Multiply both sides of the equation by  20  .

20 tan 58º  =  t                                   Put this into a calculator to get that...

32.007  m  ≈  t

hectictar  Jun 14, 2017

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