Solution The distance between ship B and the lighthouse can be obtained as below.
Let the distance be denoted by X which is the Adjacent side of the triangle.
Use the formula; SOH CAH TOA,
Cosθ=HypotenuseAdjecent⟹Cos 29∘ =200Adjacent⟹200 Cos 29∘=Adjacent∴ Adjacent=174.92km
Below is an image to show the triangle.
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