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Posted on Sep 07, 2011
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Two fire stations are 12 miles apart. Juliet, the ranger at tower A, notes that a fire has started at an angle of 42.3 from the line between the two towers. Romeo, the ranger at tower B, finds the angle is 61.7 degrees. how far is the fire from each tower?

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  • Expert 74 Answers
  • Posted on Sep 07, 2011
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Joined: Sep 01, 2011
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Hi ya,

Let x = distance between towerA and the fire
=> x = 12*cos(42.3)
=> x = 8.876 (correct to 3 decimal places)

let y = distance between towerB and the fire
=> y = 12*cos(61.7)
=> y = 5.689 (correct to 3 decimal places)

Here's a handy page on the use of SohCahToa - http://www.mathsisfun.com/sine-cosine-tangent.html

I hope this helps and good luck! If you have more questions - ask away!

Many Thanks Don.

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