An aeroplane flying at a height o 3000 m passes vertically above another aeroplane at an instant whe...........

Quantitative Aptitude (CDS) Trignometry

An aeroplane flying at a height o 3000 m passes vertically above another aeroplane at an instant when the angle of elevation of the two planes from some point on the ground are 60° and 45° respectively. Then the vertical distance between the two planes is

1000 (√3 – 1) m

1000√3 m

1000(3 - √3) m

3000√3 m

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Explanation:

Suppose A be the position of one plane and B be the position of the other plane from the ground level CD.
Let the vertical distance betweenthe two planes be h m.
AC = 3000 m and AB = h m
∴BC=(3000−h)m
In ΔBCD