S. Multiple Cholce If none of the angles of a triangle is a right angle, the triangle is called. (a) oblique (b) obtuse 6. For a triangle with sides a, b.cand opposite angles A, B.C, the Law of Sines states that one triangle can be formed. 9. True or False The Law of Sines can be used to solve triangles (e) acute (d) scalene where three sides are known. 10. Triangles for which two sides and the angle opposite one of them are known (SSA) are referred to as the 2. Multiple Choice If two angles of a triangle measure 48 and 93, what is the measure of the third angle? (a) 132 (b) 77 () 42 (d) 39
S. Multiple Cholce If none of the angles of a triangle is a right angle, the triangle is called. (a) oblique (b) obtuse 6. For a triangle with sides a, b.cand opposite angles A, B.C, the Law of Sines states that one triangle can be formed. 9. True or False The Law of Sines can be used to solve triangles (e) acute (d) scalene where three sides are known. 10. Triangles for which two sides and the angle opposite one of them are known (SSA) are referred to as the 2. Multiple Choice If two angles of a triangle measure 48 and 93, what is the measure of the third angle? (a) 132 (b) 77 () 42 (d) 39
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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13,19,25,31
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Transcribed Image Text:4. Approximate sin 0.76. Express the answer in degrees
542 CHAPTERS Applications of Trigonometric Functions
8.2 Assess Your Understanding
Are You Prepared? Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red
1. The difference formula for the sine function is
sin (A - B) = (p. 490)
3 Approximate sin 40° and sin 80". (p. 385)
4. Approximate sin 0.76. Express the answer in de
(pp. 464-465)
2. Solve sin A-
if 0s As.(pp. 469-472)
Concepts and Vocabulary
8. True or False When two sides and an angle are given at le
one triangle can be formed.
9. True or False The Law of Sines can be used to solve triangles
where three sides are known.
10. Triangles for which two sides and the angle opposite
one of them are known (SSA) are referred to as the
5. Multiple Choice If none of the angles of a triangle is a right
angle, the triangle is called
(a) oblique (b) obtuse
(c) acute
(d) scalene
6. For a triangle with sides a, b,e and opposite angles A, B.C, the
Law of Sines states that.
7. Multiple Choice If two angles of a triangle measure 48
and 93, what is the measure of the third angle?
(a) 132
(b) 77
(c) 42
(d) 39
Skill Building
In Problems 11-18, solve each triangle.
12.
13.
14.
95
85
125
10
45°
40
45
30
4.
8.
15.
16.
17.
18.
100
10
45
40
40
30 100
In Problems 19-26, solve each triangle.
19. A- 55, B= 25', a-4
22. A = 70, B- 60, c=4
\25. A- 40, B- 40, c-2
20. A - 50, C = 20, a- 3
23. A- 110, C - 30, e-3
21. B- 64, C - 47, b = 6
24. B- 10, C = 100°, b- 2
26. B- 20, C- 70, a- 1
In Problems 27-38, two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no
triangle at all. Solve any resulting triangle(s).
\ 27. a- 3, b-2, A- S0
30. a- 2, e=1, A- 120
28. b-4, c- 3, B- 40
29. b- 9, c = 4, B- 115
32. b- 2, e= 3, B- 40
35. a= 8, c = 3, C= 125
38. b = 4, c - 5, B- 40
31. a-7, b= 14, A-30
33. b-4, c= 6, B- 20
34. a-3, b= 7, A= 70
37. a-7, c- 3, C- 12
36. b= 4, c 5, B-95
Applications and Extensions
39. Finding the Length of a Ski Lift Consult the figure. To find
the length of the span of a proposed ski lift from P to Q, a
surveyor measures DPO to be 25 and then walks back a
distance of 1000 feet to R and measures LPRQ to be 15.
What is the distance from P to 0?
15
25
1000 t
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