Two fire towers are 40 kilometers tan 210 = and tan 38' = apart. Tower B is due east of tower A. A fire is spotted from Solving both the above equations for d results in: both towers. From tower A the fire is E 210 N and from tower B d = x tan 210 and d = the fire is W 380 N. Find the distance of the fire from the line Using substitution we get: connecting the towers, to the x tan 210 nearest kilometer. Solving this equation for X results in exactly: X= XD 219 380 Substituting this result back in we find that d = km which is the distance the fire is from the line 40 - x connecting the towers