SOLUTION: Fire station A and station B are 20 miles apart. They both respond to the same fire. Fire station A goes 40 degrees to reach the fire and station B goes 60 degrees to reach the f

Question 260255: Fire station A and station B are 20 miles apart. They both respond to the same fire. Fire station A goes 40 degrees to reach the fire and station B goes 60 degrees to reach the fire. How far apart is station A from the fire?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Draw a triangle pointing up and label bottom left vertex A, bottom right vertex B and top vertex F.
put 20 as the distance between A and B. place a 40 in angle A and a 60 in angle B. Looking carefully at the picture, I see we can use law of sines to solve for AF.
--
step 1 - set up the following low of sine proportion:

step 2 - cross multiply to get

step 3 - solve for AF in calculator ready form as

step 4 - estimate AF as

and then

or about 17.6 miles
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