The angle of depression of a point 100 m from the foot of the tree is 60 degrees. Find the height of the tree. explain with diagram..
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Step-by-step explanation:
in triangle abc angle ACB = 60 degrees AC equal to H b is equal to 100 M tan theta equal to opposite by adjacent tan 60 equal to H by 100 root 3 by 1 equal to H / 100 X equal to 100 root 3
Answered by
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Answer:
angle of depression=60degree
distance from the tree to the point = 100m
we can take tan60 which is equal to √3/1
tan = opposite side / adjacent side
opposite side=height of tree
adjacent side=100m
tan60=h/100
=√3/1. =. h/100
now do cross multiplication
then
√3x100 =h
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