Posted by **Alianne** on Saturday, February 25, 2012 at 4:03am.

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as

0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire

at 64°. How far from tower A is the fire to the nearest tenth of a mile?

- Trigonometry (Law of Sine) -
**Reiny**, Saturday, February 25, 2012 at 9:19am
Your wording of the question is confusing, but I think I see a triangel FAB, where AB = 10

angle A = 42° and angle B = 64°

then angle F = 180-64-42 = 74°

FA/sin64 = 10/sin74

FA = 10sin64/sin74 = appr 9.4 miles

## Answer This Question

## Related Questions

- Trigonometry (Law of Sine) - Fire towers A and B are located 10 miles apart. ...
- Functions - Two forest fire towers, A and B, are 20.3 km apart. From tower A, ...
- Trigonometry - Two fire towers are 30 km apart, tower A being due west of tower ...
- Principles of Math 11 - A ranger in fire tower A spots a fire at a bearingof 295...
- Math - Two fire towers, A and B, are 20.3 km apart. From tower A, the bearing of...
- Pre-Calculus - I need help with this problem: The bearing from the Pine Knob ...
- Pre-Calc - Two lookout towers on Mount Abraham and Snow Mountain are 29 miles ...
- Math - Two fire towers are 30 kilometers apart, tower A being due west of tower ...
- Trigonometry - A lookout spots a fire from a 36 meter tower the angel of ...
- Geometry Part 2 - A forest ranger spots a fire from a 28- foot tower.The angle ...

More Related Questions