Chapter 7 - Pearson

Chapter 7 Test 11355. Let a = 2, b = 2 3 , A = 30°, B = 60°.Verifytan 12( A- B)a-b= .tan 1 ( A B)a + b2 +tan 1( A-B) tan 1(30-60 )2 2=tan 1( A+ B) tan 1(30+ 60 )2 2tan( -15 )= »-0.26794919tan 45a-b2-2 3 2-2 3 4- 8 3+12= ⋅ =a+ b 2+ 2 3 2-2 3 4-1216-8 3= =- 2 + 3 »-0.26794919-8Thus,tan 12( A- B)a-b=tan 1 ( A B)a + b2values of a, b, A, and B.Chapter 7 Test1. 137.5°2. 179 km.3. 49.0°4. 168 sq units+using the given11. (a) 1, – 3(b) - 6, 18(c) - 20(d) 1012. 41.813. Since the dot product is 0, the vectors areorthogonal.14. The balloon is 2.7 miles off the ground.15. - 346, 45116. 1.91 miles17. 14 m18. 30 lb19. The plane’s bearing is 357°20. 18.75. 18 sq units6. (a) b > 10(b) none(c) b ≤ 107. a » 40 m; B » 41 ;C = 798. B1 » 58 30 ¢ or B2= 12130¢Solving separately for triangles A 1 = 8300¢a 11250 in. ; A 2 = 2000 ¢ ; a 2 » 431 in.9. magnitude: v = 10;angle: 126.9(θ lies in quadrant II)10.Copyright © 2013 Pearson Education, Inc.