An arroblare when flying at a heights of 2000 metres
passes vertically above another plane at an instance
when their angles of elevation from the same
point of observation are 60° and 45° respectively.
Find the distance between the aeroplanes.
answer it with the diagram!
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Let C and D be the two aeroplanes and A be the point of observation. Then,
∠CAB=30
o
,∠DAB=60
o
,BC=3125 m
Let DC=y m,AB=x m.
In right △ABC,
tan30
o
=
AB
BC
3
1
=
x
3125
x=3125
3
In right △ABD,
tan60
o
=
AB
BD
3
=
3125
3
y+3125
9375=y+3125
y=6250 m
Therefore, the distance between the two planes is 6250 m.
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