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A helicopter has an air speed (relative to the air) of 110 km/hr southeast. It flies...

A helicopter has an air speed (relative to the air) of 110 km/hr southeast. It flies in a steady wind blowing to the east at 45 km/hr relative to the ground. What is the velocity of the helicopter relative to the ground?

  1. 155 km/hr at 52o East of South
  2. 201 km/hr at 32o East of South
  3. 84 km/hr at 67o East of South
  4. 145 km/hr at 58o East of South
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Answer #1

Answer is D)145 km/hr at 58o East of South

X-Component

Vx =45+110Cos45=122.78 km/h

Vy=-110Sin45=-77.78 km/h

Magnitude

V=sqrt[122.782+(-77.78)2]=145.3 km/h

Direction

o=tan-1(-77.78/122.78)=90-32 =58o east of south

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