Question

Adam must try home to city from a business meeting in city B. One flight option flies directly to city Afrom B. a distance of about 459 miles. A second fight option flies first to cty and then connects to A. The bearing from B to Cis N29.3'e, and the bearing from B to Ais N82.6E. The bearing from A to B is 562.6w, and the bearing from A to Cis N79.2 W How many more frequent flyer mies wit Adam receive if he takes the connecting fight rather than the direct flight? Adam would receive more frequent flyer miles (Round to one decimal place as needed)

Answer 1

A B One flight about 4659 mileo. connects Adam must fly home to business melting in city from a flies directly to A from B, a distance OA second option flies flies first to city c and then flight from B the Bearing from B from a the bearing from A to find the frequent flyer miles adom reciene if he takes the com connecting flight rather than the direct flight The bearing to C is N 29.3 F, and A is N69.6°€ is s 69.6°w and G N79.2°W to to arinal we have will с. 79.2 IA 69.6 459 miles 29.3 333 B angle from the above figuure, the <CAB is L CAB = 180° -079.2° -62.6° 38.90 The angle LBCA = 180° - 33.3°- ICAB LB CA= 180°- 33.3°- 30.2° LBCA 100.5° sine low Sin Al Sin B sinc ab. By using ac

sin 33.3° Sin 30.2° bo sin 100.5° ca 459 solving sin 20.2 bc Sin 100.5 459 bc sin 38.2 459 ( Sin 108.5 7 299 bc solving sin 33.3 sin 208.5° 459 ca 4 59 sin 33.3 sin 100.5 to ca = 265.73 266 ca 80 more miles are botca - ab 299+266- 459 106 miles.