SOLUTION: From Lookout tower A, a park ranger views a column of smoke sighted due south. From lookout Tower B, which is 5 miles due west of tower A, a park ranger views the same smoke column
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Question 1105840: From Lookout tower A, a park ranger views a column of smoke sighted due south. From lookout Tower B, which is 5 miles due west of tower A, a park ranger views the same smoke column at 153 degrees. How far is the smoke column from Tower A? How far is the smoke column from tower B? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! From Lookout tower A, a park ranger views a column of smoke sighted due south. From lookout Tower B, which is 5 miles due west of tower A, a park ranger views the same smoke column at 153 degrees.
:
This can be drawn out as a right triangle, where dist from B tower to the fire is the hypotenuse (h)
:
How far is the smoke column from Tower A?
tan(153) =
d = 5*tan(153)
d = 2.5476 mi
:
How far is the smoke column from tower B?
cos(153) =
h =
h = 5.61 mi
