The angle of elevation from the top of building A to the top of building B and angle of depression from the top of building A to the bottom of building B are 30° and 60° respectively. If the distance between Building A and Building B is 36 m, find the height of Building B. (The value of 3–√=1.73).
Height of Building B is?
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Answered by
1
Answer: Given height of tower CD=50m
Let the height of the building, AB=h
In right angled △BDC,
⇒ tan60
o
=
BD
CD
⇒
3
=
BD
50
⇒ BD=
3
50
m
In right angled △ABD,
⇒ tan30
o
=
BD
AB
⇒
3
1
=
3
50
h
∴
3
1
=
50
3
h
∴ h=
3
50
=16.66m
∴ The height of the building is 16.66m
Step-by-step explanation:
Answered by
0
Answer:
Height of building B is 83.04 m
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