Sandoval Barker
02/20/2023 · Primary School

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance of about 451.6 miles. A second flight option flies first to city C and then connects to A . The bearing from B to C is \( \mathrm{N} 29.5^{\circ} \mathrm{E} \), and the bearing from B to A is \( \mathrm{N} 61.3^{\circ} \mathrm{E} \). The bearing from A to B is \( \mathrm{S} 61.3^{\circ} \mathrm{W} \), and the bearing from A to C is \( \mathrm{N} 78.9^{\circ} \mathrm{W} \). How many more frequent flyer miles will Adam receive if he takes the connecting flight rather than the direct flight? Adam would receive \( \square \) more frequent flyer miles. (Round to one decimal place as needed.)

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Adam would receive 169.4 more frequent flyer miles.

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