an airplane is flying at 550 km/h on a heading of 080. the wind is blowing at 60 km/h from a bearing of 120. Find the ground velocity of the airplane.

Question

Please Help! Thanks in advance.

Henry · Answer

Vp = (550km/h,80deg) + (60km/h,120dg).

X = hor = 550cos80 + 60cos120,
X = 95.51 + (-30) = 65.51km/h.

Y = ver = 550sin80 + 60sin120,
Y = 541.6 + 51.96 = 593.6km/h.

Vp^2=(65.51)^2 + ((593.6)^2=356,652.5,
Vp = 597.2km/h = Speed of plane.