Question

An airplane flies in a straight line for 5 hours & then takes a turn 12 degrees to the right & flies 3 hours in the new direction. The plane maintained a constant speed of 550 miles per hour throughout the flight. How far is the plane from the starting point in the air at the end of this time? (could someone pls explain this lol -3-)

Answer 1

we have triangle with side 5*550 = 2750 and side 3*550=1650 and angle 180-12 = 168 between them
Now we use the cosine theorem to get third side

$d = \sqrt{2750 ^2+1650^2-2*1650*2750*cos(168)} = 4 377.40670603041$