Question

Question #dc21d

Answer 1

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]