# Math 17

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two airways cross each other at an angle of 49 degrees. at a certain instant, the american airlines plane is 32 miles from the crossing, while the british airways plane is 76 miles from the crossing. what is the distance between the two planes at this ins -

• Math 17 -

We must assume that the two planes are flying in the same plane, which is not a good idea . (Sometimes the English language is just plain silly.)

Let the distance between them be x miles
then by the cosine law ....

x^2 = 32^2 + 76^2 - 2(32)(76)cos 49°

solve for x

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