A ship

A ship has been spotted by two lighthouses, A and B, as shown in the figure. What is the distance from the ship to Lighthouse A to the nearest tenth? Figure - the distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° and from B at 64° angle.

Correct answer:

x =  41.9 nm

Step-by-step explanation:

c=40 nm α=57°=57 β=64°=64  γ=180αβ=1805764=59   sin β :sin γ = x:c  x=c sinγsinβ=c sin59° sin64° =40 sin59° sin64° =40 0.8571670.898794=41.9=41.9 nm

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