SOLUTION: From the top of a 90-m high building, it is observed that the top of another building makes a 40 degrees angle of depression. If the two buildings are 60-m apart, how tall is the o

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Question 1022064: From the top of a 90-m high building, it is observed that the top of another building makes a 40 degrees angle of depression. If the two buildings are 60-m apart, how tall is the other building?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If you draw this with the taller building on the right, there is a right triangle with leg 60 m and an angle of 40 degrees.
Tan 40=x/60, and x is the difference in height between the buildings.
x=60 tan 40=50.35
Subtract that from 90 and the other building is 39.65 m high.