the angle of depression of a point on the ground from the top of a tower is found to be 30 degree if the distance between the point and Tower is 45 find the height of the tower
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Answer:
Let BC be x metre and AB be v meter.
In ΔADB.
tan 60
∘
=
AB
BD
3
=
y
20+x
In ΔABC
tan 30
∘
=
AB
BC
3
1
=
y
x
y=x
3
Putting the value of r in equation (1)
3
=
x
3
20+x
3x = 20 + x
2x = 20 ⇒ x = 10 m
Height of the tree 20 + 10 = 30 m.
Distance between point and foot of the tree
=
3
30
=10
3
m
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