Question

From an observation point A, a forest ranger sights a fire at a bearing of 215°50'. From a point b, 8 miles due west of A another ranger sights the fire at a bearing of 125°50'. Approximate to the nearest tenth of a mile, the distance of the fire from A.​

Answer 1

Explanation:

Answer 2

Step-by-steYou have two angles,

A=32°20'

B=57°40'

so, angle F at the fire, is 90°

d/5 = cosA = .845

d = 4.2 mi

If angle F had not been 90°, then using the law of sines,

d/sinA = 5/sinF

for this problem, sinF = 1p explanation: