Answer:
4√3 or 6.9282Km
Explanation:
Let the triangle be ABC, right angled at B
Angle A = 60 degrees
Angle C = 30 degrees
BC = 6 km
To find AB,
Tan30°=AB/BC
Now we know that tan30° is 1/√3 so,
1/√3 = AB / 6
6/√3 = AB
6√3/3 =AB
2√3 = AB
Now we have the value of two sides so we can use the Pythagoras Theorem to find the hypotenuse, which is g
AB² + BC² = AC²
(2√3)² + 6² = g²
12 + 36 = g²
48 = g²
Therefore g = √48km or 4√3km or 6.9282Km