He must stay on a course of S 60 W. We must find the heading :)
h is degrees heading west of south
say his speed over the ground is s
then west speed over ground
= s sin 60 = 950 sin h - 90
and south speed over ground
= s cos 60 = 950 cos h
so
.866 s = 950 sin h - 90
.5 s = 950 cos h
work with that
A new passenger airplane is flying from Vancouver heading overseas to Asia. The wind is blowing from the west at 90 km/h. The airplane is flying at a speed of 950 km/h and must stay on a heading of south 60 degrees west
A) What heading should the pilot take to compensate for the wind?
B) What is the speed of the airplane relative to the ground?
3 answers
.866 s = 950 sin h - 90
.866 s = 1645 cos h
---------------------subtract
950 sin h = 1645 cos h + 90
or
950 sin h - 1645 cos h = 90
for various values of h
h , left side
60 , .224
61 , 33.4
62 , 66.5
63 , 99.6 so steer 62.5 degrees west of south
65 , 165
70 , 331
.866 s = 1645 cos h
---------------------subtract
950 sin h = 1645 cos h + 90
or
950 sin h - 1645 cos h = 90
for various values of h
h , left side
60 , .224
61 , 33.4
62 , 66.5
63 , 99.6 so steer 62.5 degrees west of south
65 , 165
70 , 331
I will leave you to get s now