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Trigonometry, SMB-039

Gerry flies his helicopter from a heliport on a bearing of S50°W for 75 km until he stops at Town P which is due west of Town Q.

If Town Q is due south of the heliport, find the distance between the heliport and Town Q in kilometres, correct to two decimal places.   (3 marks)

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\(48.21\ \text{km} \)

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\(\text{Let}\ \ x=\ \text{distance from heliport and Town Q}\)

\(\cos 50^{\circ}\) \(= \dfrac{x}{75} \)  
\(x\) \(= 75 \times \cos 50^{\circ}\)  
  \(= 48.209…\)  
  \(= 48.21\ \text{km} \)  

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

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