Yes, it is ambiguous. F lies on a circle of radius 15, with center at R.
There are two tangents from P to the circle.
Find angle PFR using the law of sines.
sinF/20 = sin21°/15
Now, knowing angles P and F, you easily get angle R, and then use either law of sines of law of cosines to find PF.
Two forest fire stations, P and R are 20 km apart. Rajat, the ranger at Station R sees a
fire(F) 15 km. away. Pavit, the ranger at Station P measures the angle between Station R,
himself and the fire, RPF, and finds it to be 21°. It is required that you find how far
Station P is from the fire. Is this an ambiguous case? How do you know? Find the required
distance(s) - to the nearest hundredths. Make sure to include a diagram.
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Im snitching i know you go to ching hs for this math course. say bye to uni applications fam
1 answer