Question #dc21d

1 Answer
Binayaka C.
Apr 22, 2017

The two factories are #2201# meter apart.

Explanation:

Assume the velocity of sound in air as #343# metres per second. A is the position of man , B is the position of one factory and C is the position of other factory.

#AB(c) = 1.4*343 = 480.2# metres ; #AC (b)= 6.9 *343 =2366.7# metres. Included angle between sides #b and c# is #/_A=64.3^0#

Applying cosine law for a triangle we get #BC(a)=sqrt( b^2+c^2-2bc cosA) or a= sqrt(2366.7^2+480.2^2-2*2366.7*480.2*cos64.3)= 2201#metres.

The two factories are #2201# meter apart. [Ans]

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