Posted by **Sandy** on Sunday, June 8, 2008 at 9:38pm.

A ranger in fire tower A spots a fire at a bearingof 295 degrees.A ranger in fire tower B located 45 miles at a bearing of 45 degrees from tower A spots the same fire at a bearing of 255 degrees. How far away from tower A is the fire?

- Principles of Math 11 -
**Reiny**, Monday, June 9, 2008 at 8:14am
I have tried to construct a diagram to match the information in your question, but was not able to do so.

- Principles of Math 11 -
**drwls**, Monday, June 9, 2008 at 8:43am
I have attempted to draw the triangle ABF using your bearing information and the 45 mile distance from A to B (which I call side f). Vertex F is the location of the fire. I get a 30 degree angle at B, 110 at A and 40 at F. The law of sines can be used to obtain the two unknown sides. You are asked for the distance from A to F, which is side b.

b/sin 30 = 45/sin 40

b = (0.5000/0.6428)*45 = 35.00 miles

## Answer this Question

## Related Questions

- Functions - Two forest fire towers, A and B, are 20.3 km apart. From tower A, ...
- Grade 11 Math - I have two questions two forest fire towers, A and B are 20.3km ...
- Math - Two fire towers, A and B, are 20.3 km apart. From tower A, the bearing of...
- Algebra - A ranger spots a forest fire while on a 45-meter observation tower. ...
- Trigonometry (Law of Sine) - Fire towers A and B are located 10 miles apart. ...
- Trigonometry (Law of Sine) - Fire towers A and B are located 10 miles apart. ...
- Trig word problem - A park ranger at point A sights a redwood tree at point B ...
- Trig - Bob the ranger is atop a fire tower that i son the side of a mountain.The...
- Geometry Part 2 - A forest ranger spots a fire from a 28- foot tower.The angle ...
- geometry - a forest ranger spots a fire from 28-foot tower. the angle of ...

More Related Questions