We need a good sketch for this problem . . .
Two forest fire towers, and are 20.3 km apart.
The bearing from to is
The ranger in each tower observes a fire and radios the fire's bearing from the tower.
The bearing from tower is
From tower , the bearing is
How far is the fire from each tower?We are given: .Code:N P | F | | * | | / \ | | /40°\15°| | / \ | | / \ | | / \| |25°/ 95° * B | / * | | / 45° * 70°| |/ * 20.3 | A * Q
The fire is at
Since , then . . . then: .
In . use the Law of Sines: