Answer:
x = 58.5 m
Step-by-step explanation:
Let us use sine law to find the length of the yellow cable. Note that a cable of length 64 m is directly opposite the 112° angle and the 58° angle is directly opposite the unknown cable length. We can the set up our sine law as follows:
[tex] \frac{x}{ \sin(58) } = \frac{64 \: m}{ \sin(112) } [/tex]
Solving for x,
[tex]x = \frac{ \sin(58) }{ \sin(112) } \times (64 \: m) = 58.5 \: m[/tex]
