Final answer:
To find the distance between points F and G, we can use the cosine law with the lengths of the ropes and the given angle. Plugging in the values, we find the distance to be approximately 185.44m.
Step-by-step explanation:
To find the distance between points F and G, we can use trigonometry. Since we are given the lengths of the two ropes and the angle ZFBG, we can use the cosine law to find the distance.
The formula for the cosine law is: c^2 = a^2 + b^2 - 2ab*cos(C), where c is the unknown distance (F to G), a is the length of one rope, b is the length of the other rope, and C is the angle between the two ropes.
Plugging in the values, we get: c^2 = 120^2 + 150^2 - 2*120*150*cos(86°)
Solving this equation, we find that the distance between F and G is approximately 185.44m.