We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.
Is 0 one of your answer options? If so the answer is 0.
The answer is 208. The equation to get this is m=29g-140 where m is miles and g is the gallons. Plug 12 in for g and solve for m. 29 * 12 = 348, 348-140 = 208. Therefore, m=208.