25. The Law of Sines (a) A satellite orbiting Earth passes directly overhead at observation stations in Pheonix and Los Angeles, 340 mi apart. At an instant when the satellite is between these two stations, its angle of elevation observed at Los Angeles is 60°. If the distance from the satellite to Pheonix is known to be 170v6 mi, find the angle of elevation observed at Pheonix. (b) To find the distance across a river, a surveyor chooses points A and B, which are 280 ft apart on one side of the river. She then chooses a reference point C on the opposite side of the river and finds ZBAC = 60° and ZABC = 75°. Find the distance from point B to C. (c) Assume you have a triangle AABC with a = 5, 6 = 5/2 and the angle ZA = 30°. Find ZB. How many solutions are there? (d) A fire is sighted from stations A and B. The bearing of the fire from station A is S 60° E, and the bearing from station B is S 30° W. Station B is 4 miles due east of station A. How far is the fire from station A? (e) Use the Law of Sines to solve for the missing values of the triangle which satisfy the given conditions. (Determine if there are 0, 1, or 2 possible triangles). a = (f) Use the Law of Sines to solve for the missing values of the tirangle which satisfy the given conditions. (Determine if there are 0, 1, or 2 possible triangles). a = = 15/3, 6 = 15, ZB = 30°. 20/2, 6 = 40, ZB = 135°.

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