00:01
Hi, here in this given problem, the geese start flying towards north means they want to fly not towards north, from north to south.
00:18
The direction of the migration of the geese, it should be from north to south.
00:26
Sorry, from north to south.
00:31
But the wind is blowing from west to east like this so in order to reach directly to the south one of the goose should start flying in a direction making an angle theta west of south here speed of goose related relative to air speed of goose 100 km per hour and this is wind this is goose this will be resultant speed of goose with respect to wind so velocity of wind that is 42 km per hour okay in the first part of the problem we have to find this angle theta so to head directly to south, the goose should fly at some angle due west of south.
02:33
So considering this right angle triangle, sine theta here will be perpendicular vw by hypotenous vg means this is 42 km per hour divided by 100 kilometers per hour means 0 .42 so this theta will be given by sine inverse 0 .42 and it is calculated to be equal to 24 .8 degree west of south the goose should start flying in this direction.
03:20
Answer for the first part of the problem then in the second part of the problem, resultant speed of goose with respect to the wind using pythagoras theorem.
03:41
It will be given by square of hypotenous v.
03:44
Goose minus square of perpendicular v wind...