Martin Sp18 TR 9:30 Madison Hudson Homework: Homework 7.1 Score: 0 of 1 pt 7.1.4

Question

Martin Sp18 TR 9:30 Madison Hudson Homework: Homework 7.1 Score: 0 of 1 pt 7.1.47 11 of 14 (9 complete) Two fire-lookout stations are 290 miles apart, with station A directly south of station B. Both stations spot a fire. The bearing of the fire from station A is N55°E and the bearing of the fire from station B is S60°E. How far, to the nearest tenth of a mile, is the fire from each lookout station? L-290 The distance from station B to the fire is (Round to the nearest tenth) miles. Enter your answer in the answer box and then click Check Answer

Explanation / Answer

finding 3rd angle of the traingle

180 - ( 60 + 55 )

= 65 degrees

applying law of sines

290 / sin 65 = b / sin 55

b = 262.11

distance of fire from station B is 262.1 miles

290/sin 65 = a / sin 60

a = 277.1

distance of fire from station A = 277.1 miles

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