Airplane A is flying directly toward the airport is 20 miles away. The pilot notices airplane B 45 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of airplane B calculates that airplane A is 50 degrees to his left. Based on that information, how far is the airplane B from the airport?

Expert Answers

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First, diagram out the problem.  I have it attached.  It never says anything about up/down, North/South, etc., only the angles.  So, we have that.  From that, we can use the law of sines to find the distance for airplane B:

`sin(45)/x = sin(50)/20` 

Cross multiplying:

`20*sin 45 = x*sin 50`

`20*sin(45)/sin(50) = x` 

x = 18.46 miles

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