An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of two planes from the same point on the ground are 60° and 45°, respectively. What is the height of the lower plane from the ground?
1
500 m
2
\(\frac{{100}}{{\sqrt 3 }}{\rm{m}}\)
3
\(100\sqrt 3 {\rm{m}}\)
4
\(150\left( {\sqrt 3 + 1} \right){\rm{m}}\)