Question

Find the length of AC in terms of x, If AB is equal to x and BC is equal to 1000x... The points A and C are both at an angle of 60 degrees from the point B... I hope the question is clear :)

Answer 1

Well, I am not sure but in my answer, x is getting eliminated.

Let BC = a, AC = b, AB=c
By sine rule,
a/sinA = b/ sinB = c/sinC
⇒ b/sin B = a/c = 1000x/x
⇒ b = 1000 * sin 60° = 500√3 units

AC = 500√3 units