∴BM∥AF.
∴∠ABM=∠BAF=30
In △BAM, AM= 12AB=5, BM=53.
The passing point c is CN⊥AH in n and BD in k.
At Rt△BCK, ∠ CBK = 90-60 = 30.
Let CK=x, then BK=3x.
In Rt△ACN,
* An island C was observed at A in the northeast,
∴∠CAN=45,
∴AN=NC.
∴AM+MN=CK+KN
And NM=BK, BM=KN.
∴ x+53 = 5+3x。 The solution is x=5.
∫5 nautical miles > 4.8 nautical miles,
Fishing boats are not in danger of entering the farm.
A: This fishing boat is not in danger of entering the farm;
Solution 2: Let point C be CE⊥BD and foot be E, as shown in the figure:
∴CE∥GB∥FA.
∴∠BCE=∠GBC=60,ACE=∠FAC=45
∴∠BCA=∠BCE-∠ACE=60 -45 = 15
∠ BAC =∠ FAC-∠ Fab = 45-30 = 15。
∴∠BCA=∠BAC,
∴BC=AB= 10
In Rt△BCE, CE=BC? cos∠BCE=BC? COS60 = 10× 12 = 5 (nautical mile)
∫5 nautical miles > 4.8 nautical miles, ∴ fishing boats are not in danger of entering the farm.
A: This fishing boat is not in danger of entering the farm.