an angle of elevation of top of a tree is 60 which is 30m away from the root of the tree. find the height of the tree
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From a point 30 m away from the foot of a tower, the angle of elevation of the top of the tower is 30
o
. find the height of tower. (Use
3
=1.732)
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ANSWER
Given the tower is 30m away from point A.
Given angle of elevation of top of tower is 30.
Let the height of tower be x
tan30=
AB
BC
=
3
1
=
30
x
x=
3
30
⋅
3
3
=
3
30×
3
=10
3
∴ Height of tower =10
3
=10×1.732
=17.32m.
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