Question

Spark away from a point in three different direction such that the path of each is equally inclined to those of other to find the angles and path make with one another

Answer 1

Let O is the point from away three friends A , B and C in different directions OA , OB and OC respectively .

Let a is the angle between OA and OC , then according to condition of question angle between OA and OB will also a . And angle between OB and OC will also a .

Now, you can see that,

Angle between OA and OC + angle between OA and OB + angle between OB and OC = a complete circle = 360°

⇒ a + a + a = 360°

⇒ 3a = 360° ⇒ a = 120°

Hence, angle between their path is 120°