Find the distance and bearing of the fire from the aircraft.?

bearing means of measuring angle; bearing angle if start @ due north , move clockwise, bearing of 90 degrees means due east; 180 due south

bearing of 348 12 degrees west of north; bearing of 117 degree 27 degrees south of east

way answer find x , y coordinates of position of fire , position of airfield

fire:

x coordinate -8 sin 12 = -1.66km (draw line origin, 8 units in length, 12 degrees west of north see x coord of fire; minus sign arises because left of y axis)

y coord +8 cos 12 = 7.83km

airfield:

x coord = 17cos 27 = 15.15 km
y coord = -17 sin 27 = -7.72km

total distance between 2 points

sqrt[(delta x)^2 +(delta y)^2]
delta x , delta y differences between points in x , y coordinates

delta x = 15.15 - (-1.66) = 16.81km
delta y = -7.72-7.83 = -15.55km

distance = sqrt[16.81^2+(-15.55)^2]=22.90km

a fire observation tower notices fire starting 8 km away, on bearing (from due north) of 348. there water bomber @ airfield 17 km away tower, on bearing of 117. find distance , bearing of fire aircraft.

can't understand quation
can me ?!!

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