Question

Draw a picture, label it and solve for the remaining parts. 8)B-28.70, y = 102.6", b = 19.94 8) EXTRA CREDITI!! this isn't that hard! Draw a picture. Solve the problem. 9) Two tracking stations are on the equator 127 miles apart. A weather balloon is located on a bearing of N 36°E from the western station and on a bearing of N 21°E from the eastern station. How far is the balloon from the western station? Round to the nearest mile.

Answer 1

Formula Used: law of sines! A c b Note: side a is opposite to angle a similarly side b is opposite to LB side c is opposite to angle c & C a B in A ABC law of sines state that sina sinB sinc - с. b

q a hb6l = 9 Answer 8 we have triangle abr with sides where, side is opposite of La side opposite of <ß a, b, c 9 102.6° 28.1 ४ a a LL 6 is 80 side С. IS opposite of 28

→ a. Now, La + LBt <rz 180° [ sum of interior angle of triangle is La + 28.7° + 102.6 = 180° 180° ] <x+ 131.8 = 180° 24 = 180° - 131.8° 22 = 48.7° Now, use side the law of sines, to calculate missing I so, by law of a sines we have sina sin ß b sin (48.70) = sin (28.7°) 19.94 19.94 X sin (48.7") = axsin (28.7") 19.94 xsin (48.7°) sin(28.70 19.94 X 0.451264133 0.480 2234 u 14.9802068 0.480 2234 = 31.19

a = 31.19 Now, missing law use the of sines to calculate by law of sines side C we have SO sino བ sin b С. sin (102.6°) sin (28.70) 19.94 C 19.94 x sin (102,6°) = CX sin(28.7°) => 19.94 x Sio (102.6°) sin (28.1) 19.94 X 0.975917 0.4802234 19.459780 = 40.52 0.4802234 C = 40.52 so , Answer is a = 31.19 S = 40.52 2x = 48.7°