39. We can use the Law of Sines, here......we have
D / sin 37 = 17/ sin 28 where D is the distance between towers B and C
Multiply both sides by sin37
D = 17*sin 37 / sin 28 = about 21.8 miles = answer C
40. We can use the Law of Cosines to find θ
76^2 = 91^2 + 83^2 - 2(91)(83)cosθ rearrange
[ 76^2 - 91^2 - 83^2] / [ -2 (91)(83)] = cosθ take the cosine inverse to find θ
θ = arccos ( [ 76^2 - 91^2 - 83^2] / [ -2 (91)(83)] ) = about 51.55° = answer A