Aircraft bearing

Two aircraft will depart from the airport simultaneously, the first with a course of 30° and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight?

Correct answer:

x =  232.3884 km

Step-by-step explanation:

v=330 km/h t=45 min h=45:60  h=0.75 h  a=v t=330 0.75=2495=247.5 km b=a=247.5=2495=247.5 km  α=8630=56   x2=a2+b22 a b cosα  x=a2+b22 a b cosα=a2+b22 a b cos56° =247.52+247.522 247.5 247.5 cos56° =247.52+247.522 247.5 247.5 0.559193=232.388=232.3884 km

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