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an observer from the ground looks up to the top of a building with an angle of elevation of 24 degrees. If he is standing 400 feet away from the building, how tall is the building? Round to nearest foot. 

Guest Jun 21, 2018
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Just, tan function, \(\boxed{178}\) feet.

smileysmiley

tertre  Jun 21, 2018
edited by tertre  Jun 21, 2018
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You would use the "tan function" to find the height of the building:

 

Tan(24) = Height / 400

0.445229 = Height / 400

Height = 400 x 0.445229 =~178 feet - Height of the building.

Guest Jun 21, 2018

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