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Trigonometry, SMB-038

Boat A leaves port on a bearing of 065° and sails for 22 km until it is due east of Boat B. 

If Boat B is due north of the port, find the distance between the port and Boat B in kilometres, correct to two decimal places.   (3 marks)

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\(9.30\ \text{km} \)

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\(\text{Let}\ \ x=\ \text{distance from port to Boat B}\)

\(\cos 65^{\circ}\) \(= \dfrac{x}{22} \)  
\(x\) \(= 22 \times \cos 65^{\circ}\)  
  \(= 9.2976…\)  
  \(= 9.30\ \text{km} \)  

Filed Under: Right-Angled Trig Tagged With: num-title-ct-coreb, smc-4552-70-Bearings

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