Posted by Nikki on Saturday, November 26, 2011 at 1:12am.
Not enough information.
Let the fire be at point F.
If the angle at P were 36.9 degrees, then we would have a right triangle with legs 15 and 20, and hypotenuse PF = 25.
However, since angle P is less than 36.9 degrees, a circle of radius 15 will cut the line PF extended in two places, either one of which would be a solution. The angle at F could be either acute or obtuse.
However, using the law of sines,
15/sin15° = 35.5 = 20/sinF
sinF = 20/35.5
F = 34° or 146°
PF/sin(180-(25+34)) = 35.5 makes PF = 30.42
PF/sin(180-(25+146)) = 35.5 makes PF = 5.38
SO, the distance PF depends on which direction the ranger was looking when he saw the fire.
Related Questions
Trig-sine, cosine law - Two fire stations,P and Q,are 20 km apart. A ranger at ...
math - a fire is sighted from two ranger stations that are 6000 meters apart. ...
Math - Two fire towers, A and B, are 20.3 km apart. From tower A, the bearing of...
Pre Calc - From an observation point A, a forest ranger sights a fire in the ...
Grade 11 Math - I have two questions two forest fire towers, A and B are 20.3km ...
Pre-Calc - Two lookout towers on Mount Abraham and Snow Mountain are 29 miles ...
Algebra - A ranger spots a forest fire while on a 45-meter observation tower. ...
Principles of Math 11 - A ranger in fire tower A spots a fire at a bearingof 295...
5th Grade Math Problem - I posted this a little while ago, but didn't see it...
Pre-Calculus - I need help with this problem: The bearing from the Pine Knob ...
For Further Reading
