13 CASE STUDY-1 An aeroplanes vertically due to some mechanical problems and makes angles on elevation of gom and 30 lat an observing point. If the distance between the two points A and B S 1000m ke find the height at which the aeroplane laces the mechanical problems. wanaoint which the men and the main
Answers
Answered by
0
Let the aeroplanes are at point A and D respectively. Aeroplane A is flying 600 m above the ground.
So, AB=600
∠ACB=60
o
,∠DCB=45
o
From △ABC, we have
BC
AB
=tan60
o
⇒BC=
3
600
=200
3
From △DCB,
BC
DB
=tan45
o
⇒DB=200
3
Since, the distance AD=AB−BD=600−200
3
AD=200(3−
3
)=200(3−1.7321)=253.58 m
Hence, the distance between the two aeroplanes is 253.58 m.
Similar questions