Aplane takes off and travels at an angle of 40° north of east at 110mph for 2 hours. it then adjusts its path to head 10° west of north and travels in that direction for half an hour at a speed of 100mph. approximately how far away is the plane from its starting point?

248.80 miles ( Approx)

Step-by-step explanation:

Let A shows the initial position of the plane, B shows the position of plan after traveling at an angle of 40° north of east at 110 mph for 2 hours and C represents the final position of plan.

Then According to the question,

miles ( because plane traveled for 2 hours with the speed of 110 mph)

miles ( Because plane traveled for 1/2 hour with the speed of 50 mph)

Now,  ( shown on diagram)

Thus, By cosine law,

Thus, the plane is 248.80 miles from its starting point.

Step-by-step explanation:

In the picture.

I hope that it's a clear solution.