Answer:
The lenthts of the ropes, as per the figure attached, are
- 27 ft (rope A) and
- 32ft (rope B)
Step-by-step explanation:
See the figure attached for any reference.
We can find the lengths of both ropes using the law of sines.
1. Rope A:

2. Rope B
First, calculate the included angle: 180º - 86º - 42º = 52º
Now use the law of sines:
