SOLUTION: From an observatory tower A,a column of smoke is sighted due south from a second tower B,5km west of A,the smoke is observed in the direction S60°E,how far is the fire from B?also

Question 1166535: From an observatory tower A,a column of smoke is sighted due south from a second tower B,5km west of A,the smoke is observed in the direction S60°E,how far is the fire from B?also how far is the fire from A?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since B to the Fire is 60 degrees East of South, angle B of the triangle must be 30 degrees, so you have a 30-60-90 triangle. The ratio of the three sides hypotenuse:short leg:long leg is

But you want the ratio where the long leg has the value 1 and then you can multiply each of the ratio values by 5 to find the other two legs. To get this ratio, multiply each of the values in

John

My calculator said it, I believe it, that settles it

I > Ø

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