Question

A plane flies 1.5 hours at 120 mph on a bearing of 10 degrees. It then turns and flies 8.5 hours at the same speed on a bearing of 100 degrees. How far is the plane from its starting​ point

Answer 1

Answer:

Plane is 1035.76 miles far away from the starting point.

Explanation:

 First the plane flies 1.5 hours at 120 mph on a bearing of 10 degrees then it turns and flies 8.5 hours at the same speed on a bearing of 100 degrees.

 So angle between the displacements = 100-10 = 90 degrees

 Initial displacement = 1.5 *120 = 180 miles

 Second displacement = 8.5*120 = 1020 miles

These two displacements are at 90 degrees, so final displacement = $\sqrt{180^2+1020^2} = 1035.76miles$

So plane is 1035.76 miles far away from the starting point.