SHOTS ARE FIRED  AT THE SAME INSTANT FROM THE TOP AND BOTTOM OF A CLIFF AT AN ANGLE  AND  AND THEY HIT A BIRD SIMULTANEOUSLY AT POINT WHICH X DISTANCE AWAY FROM THE CLIFF AND Y HEIGHT ABOVE THE GROUND WHAT IS THE RELATION BETWEEN X AND Y.

figure is attached below.......

 

 

x = u1 cos# . t --------------------------1

x = u2 cos @ .t -------------------------2

so , u1 cos# = u2 cos@ --------------------------------------------------1

 

now y = u1sin# t. + 1/2gt^2

also y = u2sin@ t - 1/2 gt^2

 

adding above two eqns. we get

 

2y = t( u1 sin# + u2 sin@)

 

using 1 & 2 (eqns.)

2y = x tan# + x tan@

 

hence req. answer is:-