Question

Numbers 6,10,17 and 29 please.

numbers 6,10,17 and 29 please.

CONCEPTS 10. A 24 10 1. For triangle ABC with sides a, b, and c the Law of Cosines 20 12 2. In which of the following cases must the Law of Cosines be used to solve a triangle? ASA SSS SAS SSA 11-20Solve triangle ABC SKILLS 3-10Use the Law of Cosines to determine the indicated side x or angle 0 12. 12 120° 4. С *. 13, a С 530 3.0. b 4.0, 14. b 60. 30, LA70 15. a:: 20. b-25, с 22 16. a10, b 12, 16 B 15 108 6. C 140 18. a 65, с 50, 52° 19, a = 50, b = 65, 55。 LA 21-28 . Find the indicated side x or angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) 8, C 122.5 60.1 68.01 10 85° 42.15 154.6 350 37.83A 18 C 24. C Prove that in triangle ABC a b cos C +ccos B bc cos A + acos C e a cos B +bcos A These are called the Projection Laws Hin: To get the first 26. C equation, add the second and third Cosines and solve for a equations in the Law of APPLICATIONS 39. Surveying To find the distance across a small lake, a sur- veyor has taken the measurements shown. Find the distance across the lake using this 28. C 2.82 mi 9-32Find the area of the triangle whose sides have the given 3.56 mi 29, a = 9, b=12, c=15 30, α=1, b=2, c=2 40. Geometry A parallelogram has sides of lengths 3 and 5 32. a 1, 100,101 and one angle is S0°. Find the lengths of the diagonals. 33-36·Find the area of the shaded figure, rund d to two decimals. 41. Calculating Distance Two straight roads diverge at an angle of 65. Two cars leave the intersection at 2:00 P.M.. one traveling at 50 mi/h and the other at 30 mi/h. How far apart are the cars 2:30 PM? 42. Calculating Distance Acar travels along a straight road. heading cast for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 40 milth, how far is it from its starting position? 43. Dead Reckoning A pilot flies in a straight path for 100P I h 30 min. She then makes a course correction, heading 10 to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 625 mi/h, how far is she from her starting position? 44. Navigation Two beats leave the same port at the same time. One travels at a speed of 30 mi/h in the direction N S0 E and the other travels at a speed of 26 mi/h ina direction S 70 E (see the figure). How far apart are the two boats after one hour? 37. Three circles of radi 4,5, and 6 cm are mutually tangent. Find the shaded area enclosed between the circles. S 70 E

Answer 1

We have to lind X, By law ee G Sines 2. InDABC , o) b=10cm By lauo ines 2. ayocos-=-156 Cose IS ス z 130 54

1子 b=as iven, c=162,28= 40 la op Sines → 162 -las 125 56. 4 Кр -gin "(0.833) 83-58 162×Bin 83-58 a= 193 as in 56

b) (S-C 18x9x6 x 3 unds