Question

Use trig to find the missing part. Show all of your work (incluing how you set up the problem &marked A O, H). Round sides to the nearest tenth and angles to the nearest degree.3 pts each 17 9.8 13.7 Use the Law of Sines to selive the felowing noneight riangles: 2 pts each 19 23. Solve the triangle using the law of sines 11 point each blank) 8-31 A tree casts a shadow that is 20 feet long The angle of elevation to the top of the tree is 47h How tal is the points) 25. Two park rangers are standing in towens that ane 9 mles apart They boh spot a fire in the forest. The angle at Tower A tothe fre 60. . The arge at Tower B totst" 42". How tar sTower A hom he fre? iaports) 26. Two ships ane 350 feet apart and traveling to the same port as shown Find the distance from the port to each ship. (0 points form ship A from ship B

Answer 1

Using sin theta = Perpendicular/Hypotenuse [Perpendicular = 6 [infront of theta is perpendicular] sin theta = 6/17 theta = sin^-1 6/17 = 58.997 degree cos theta = Base/Hypotenuse. Cos theta = 15/X = cos 51 degree = 15/X = X = 15/cos 51 degree [Since cos 51 degree = 0.62 15/0.62 = 24.193 cos theta = Base/Hypotenuse cos theta = 3/8 theta = cos^-1 3/8 = 67.475 degree \r\n tan theta = Perpendicular/Base tan 12 degree = 13.7/X X = 13.7/tan 12 degree = 13.7/0.21 [because tan 12 degree = 0.21 = 65.238