You 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 = 1
From an observation point A, a forest ranger sights a fire in the direction S32°20'W (see the figure). From a point B, 5 miles due west of A, another ranger sights the same fire in the direction S57°40'E. Approximate, to the nearest tenth of a mile, the distance d of the fire from A.
1 answer
1 answer