Answer:
Step-by-step explanation:
Average Speed = distance traveled in mile / time in hours
Plane speed = 300 mph = distance traveled by A / time
difference in time from 2:00pm to 5:00p.m = 5: p.m - 2: 00 pm = 3 hrs
distance traveled by A = speed × time = 300 × 3 = 900 miles north
Plane B
time difference = 5: 00 pm - 2:30 pm = 2.5 hrs
distance traveled by plane B = 225 × 2.5 = 562.5 miles east
to find their distance apart we use Pythagoras theorems
distance apart D = √ ( 900² + 562.5²) = 1061.32 miles
tanФ = 900 / 562.5
Ф = tan⁻¹( 900 / 562.5) = 57.99°