The locations, given in polar coordinates, for two planes approaching an airport are (4 mi, 12º) and (3 mi, 73º). Find the distance between the two planes.

QUESTION POSTED AT 01/06/2020 - 03:28 PM

Answered by admin AT 01/06/2020 - 03:28 PM

To get the distance between the two planes we use the cosine rule;
c^2=a^2+b^2-2abCosC
thus;'
a=4 miles
b=3 miles
C=73-12=61
thus
c^2=4^2+3^2-2*3*4Cos 61
c^2=16+9-24cos61
c^2=25-24cos61
c^2=13.3646
c=sqrt13.3646
c=3.66 miles
They two planes are 3.66 miles apart
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