Asmall aircraft, on a heading of 225°, is cruising at 150 km/h. it is encountering a wind blowing from a bearing of 315° at 35 km/h. determine the aircraft’s ground velocity.

The aircraft’s ground velocity is mathematically given as

V=154km/h

Question Parameters:

A small aircraft, on a heading of 225°, is cruising at 150 km/h. It is encountering a wind blowing from a bearing of 315° at 35 km/h.

Generally the equation using Pythagoras theorem of the resultant speed   is mathematically given as

Therefore

V=154km/h

Therefore,the aircraft’s ground velocity is

V=154km/h

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As we can see in the figure attached here

The velocity of aircraft is given as

at 225 degree

velocity of wind is given as

at 315 degree

so here the net velocity of aircraft will be the vector sum of aircraft speed and wind speed

since in the figure we can see that the two speeds are perpendicular to each other

so we can say that the resultant of two speed can be given by using Pythagoras theorem

so we will have

so net speed of aircraft will be 154 km/h

this a false

explanation:

it is the second option.