It is 4.7 km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73°E. A ship has sailed due west from the port and its bearing from the
lighthouse is N31°E. How far has the ship sailed from the port? Round your answer to the nearest 0.1 km
O A. 3.5 km
O B. 3.1 km
O C. 3.7 km

correct option is  C. 3.7 km

Step-by-step explanation:

given data

A to Port B = 4.7 km

lighthouse = N73°E

lighthouse = N31°E

solution

we get here first   B and  

here

A = 90 - 73 = 17°

B =  73 - 31 = 42°

and

sum of all angle 180° so

A +  

17° + 42° +   C = 180°  

solve it we get

C = 121°

Now we use here sin law that is

  ........................2

put here value and we get

solve it we get

b = 3,7 km

so correct option is  C. 3.7 km

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