1.Solve the triangle, if one exists. (Round your answers to two decimal places.)
ID: 3399665 • Letter: 1
Question
1.Solve the triangle, if one exists. (Round your answers to two decimal places.)
C = 32.9°, b = 3.90, c = 2.54
2.The following diagram shows two ways to play a golf hole. One is to hit the ball down the fairway on your first shot and then hit an approach shot to the green on your second shot. A second way is to hit directly toward the pin. Due to the water hazard, this is a more risky strategy. The distance AB is 163 yards, BC is 148 yards, and angle A is 41.0°. Find the distance AC from the tee directly to the pin. Assume that angle B is an obtuse angle. (Round your answer to two decimal places.)
Case 1: Case 2: B = ° (smaller B-value) B = ° (larger B-value) A = ° A = ° a = a =Explanation / Answer
C = 32.9
b = 3.90
c = 2.54
applying sine rule
c / sin C = b / sin B
plugging the values we get
2.54 / sin 32.9 = 3.90 / sin B
4.6762 = 3.90 / sin B
B1 = 56.51 ( smaller B value )
B2 = 180 - 56.51 = 123.49 ( larger B value )
2.54 / sin 32.9 = b / sin 123.49
b = 3.899
A1 = 180 -( 56.51 + 32.9 )
A = 90.59
A2= 180 - ( 123.49+ 32.9 ) = 23.61
a / sin A1 = 2.54 / sin 32.9
a = 4.67 (for smaller B value )
a / sin A2 = b/sin B2
a / sin 23.61 = 3.899 / sin 123.49
a=1.872 ( for larger B value )
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