what is the resultant.

Question

A bird is travelling at 150 km/h towards a true bearing of 300 . During its flight, the bird encounters a wind that is blowing towards a true bearing of 070 at 40 km/h. Determine the resultant velocity and direction of the bird’s flight.

Answer 1

Draw and label a diagram!

The angle between the bird and the wind is 80°

Using Law of Cosines

v² = 40² + 150² - 2(40)(150) cos 80°

Using Law of Sines

sin V / 40 = sin 80° / v adjust to be bearing.

An aside, 150 kph is equal to 90 mph. That is one fast bird!