Advanced Precalculus Notes 7.2 continued: Law of Sines (The

Ambiguous Case)The Ambiguous Case: The reason there are two possible answers to a

triangle when an acute angle is given and the side opposite that angle is smaller than the side adjacent is that SSA is not a congruence formula.

Solve a triangle with the given measurements:a = 15 inches, b = 25 inches and A = 85° Solve a triangle with the given measurements:a = 12 inches, b = 31 inches, A = 20.5°

Solve a triangle with the given measurements:a = 2, c = 1, c = 50°

To measure the height of a mountain, a surveyor takes two sightings of the peak at a distance 900 meters apart on a direct line to the mountain. The first observation results in an angle of elevation of 47° and the second results in an angle of elevation of 35°. If the transit is 2 meters high, what is the height of the mountain?

Coast Guard Station Monarch is located 120 miles due west of Station Centaurus. A ship at sea sends an SOS call that is received by each station. The Station Monarch indicates that the bearing of the ship from Monarch is N40°E. Centaurus indicates that the bearing of the ship from Centaurus is N30°W. a) How far is each station from the ship? b) If a helicopter can fly 200 mph and is sent from the nearest station to the ship, how long will it take to reach the ship?

Assignment: page 538: 6, 8, 31, 36, 43, 50, 52