from the top of a 60 meter height
building, the angles of depression to the
top and foot of a cell tower are 30degree
and 60degree respectively. find the height of
the cell tower ?
Answers
Answered by
3
Answer:
Let the building be AB,cell tower be CD,and o is the point on AB
Now
In triangle ABD
AB=P=60m
BD=b=?
Theta=60
Tan theta=p/b
Tan60=60/BD
√3=60/BD
BD=60/√3
Again
In triangle AOC
AO=AB-OB
=60-OB=p
OC=BD=60/√3=b
Tan theta=p/b
Tan 30=60-OB/60/√3
1/√3=60-OB/34.64
34.64/√3=60-OB
20=60-OB
OB=60-20
OB=40m
BD=OB=40 m
Height of cell tower is 40 m
Step-by-step explanation:
Answered by
6
Answer:
give diagram of this question
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