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Two buildings are 40 m apart. The angle of depression of the top of one building of height 100 m with the top of second building of unknown height is 60°. Find the height of second building?

Two buildings are 40 m apart. The angle of depression of the top of one building of height 100 m with the top of second building of unknown height is 60°. Find the height of second building?
QuestionTwo buildings are 40 m apart. The angle of depression of the top of one building of height 100 m with the top of second building of unknown height is 60°. Find the height of second building?
Typemultiple_choice
Option30.8 mcorrect
Option60 mincorrect
Option76.8 mincorrect
Option40.5 mincorrect
Solution :

Le t the height of the second building AD be h.

EC = 100 – h

DC = AB = 40

100 -h = 40 * √3

– h = -100 + 40 * 1.73

– h = -100 + 69.2 h = 30.8 m ( Option A)

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