Question

Two persons on side of a tall buildings notice the angle of elevation of the top of the building to be 30o and 60o respectively.If the height of the building is 72m,find the distance between the two persons.

Answer 1

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Answer 2

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distance between them =BD+DC
tanB=72/BD
tan30°=72/BD
1/√3=72/BD
BD=72√3 meter


tanC=72/DC
tan60°=72/DC
√3=72/DC
DC=72/√3


BD+DC=72√3+72/√3
=216+72
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√3
=288/√3
=288√3/3
BC =96√3 m