MAC 1114 Trigonometry
Section 7.2: The Ambiguous Case
1) Find angle B in triangle ABC if A = 30°, a = 10ft and b = 40ft.
2) Find the missing parts in triangle ABC if A = 20°, a = 30m and b = 40m.
3) Find the missing parts in triangle ABC if A = 30°, a = 6cm and b = 12cm.
4) Find the missing parts in triangle ABC if C = 26.8°, c = 36.8km and b = 36.8km.
5) A plane is headed due east with an airspeed of 340 miles per hour. Its true course, however,
is at 98° from due north. If the wind currents are a constant 55 miles per hour, what are the
possibilities for the ground speed of the plane?
6) A boy is riding his motorcycle on a road that runs east and west. He leaves the road at a
service station and rides 5.25 miles in the direction N 15.5° E. Then he turns to his right and
rides 6.50 miles back to the road, where his motorcycle breaks down. How far will he have to
walk to get back to the service station?
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