Asked by Pam
Two fire towers, A and B, are 20.3 km apart. From tower A, the bearing of tower B is 70̊. The ranger in each tower observes a fire and radios the bearing of the fire from the tower. The bearing from tower A is 25̊ and from tower B is 345̊. How far is the fire from each tower?
Answers
Answered by
Damon
triangle A B F
North to AB = 70
North to AF = 25
so
angle FAB = 70-25 = 45
North to BF = 345 clockwise so 15 counterclockwise
so exterior angle AB to BF = 70 +15 = 85
so
angle ABF = 180 -85 = 95
that leaves angle AFB = 180 -45-95 = 40
then
sin 40/20.5 = sin 95/af = sin 45/bf
North to AB = 70
North to AF = 25
so
angle FAB = 70-25 = 45
North to BF = 345 clockwise so 15 counterclockwise
so exterior angle AB to BF = 70 +15 = 85
so
angle ABF = 180 -85 = 95
that leaves angle AFB = 180 -45-95 = 40
then
sin 40/20.5 = sin 95/af = sin 45/bf
Answered by
Pam
ohh thanks
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.