Question

an aeroplane when flying at a height of 5000m above the ground passes vertically above another aeroplane at an instant when the angle of elevation of two aeroplane from the same point on the ground are 60 ans 45 respectively. find the vertical distance between yhe two panes at that instsnt.

Answer 1

Let P and Q be the position of two Aeroplane. When Q is vertically below P and OP = 5000 m

 

Given: the angle of elevation of P and Q at a point on ground (say A) are 60° and 45°

∴∠PAO = 60° and QAO = 45°

 

Now in ∆AOP and AOQ we have