37. a = 7, c= 3, C = 12°

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.1: Angles, Degrees, And Special Triangles
Problem 56PS: Escalator What is the length of the escalator in Problem 55 if it makes an angle of 60 with the...
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37 please
In Problems 11–18, solve each triangle.
\11.
95
12.
a
C
13.
a
45°
b
85
14.
a straig
angle
road. E
A
40°
45°
43. Lanll
a
a
3
125
epe
30°
B.
15.
50°
44. Dista
deter
16.
C
a
(A
081)ni
17.
45°
40°
5°
b
100°
18.
a
cove
C
10°
40°
is 17
A
In Problems 19–26, solve each triangle.
the
30° 100°
45. Lan
bef
due
19. A = 55°, B = 25°,
a = 4
22. A = 70°, B = 60°,
20. A = 50°, C = 20°, a = 3
c = 4
nea
21. B = 64°, C = 47°, b = 6
24. B = 10°, C = 100°, b = 2
In Problems 27–38, two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or
25. A = 40°, B = 40°,
23. А 3D 110°, С — 30°, с %3D3
po
pa
he
c = 2
26. В 3 20°, С -D 70°, а %3 1
1gas
triangle at all. Solve any resulting triangle(s).
46. C
27. a = 3, b = 2, A = 50°
a
28. b 3D 4, с %3D 3, В %3D 40°
31. a = 7, b = 14, A = 30° 32. b = 2, c = 3, B = 40°
30. a = 2, c = 1, A = 120°
29. b = 9, c = 4, B = 115°
33. b 3D 4, с — 6, В 3 20°
36. b = 4, c = 5, B = 95°
34. a = 3, b = 7, A = 70°
47.
itt 37. a = 7, c = 3, C = 12°
35. а 3 8, с %3D 3, С%3D125°
Applications and Extensions
38. b = 4, c = 5, B = 40°
ni node
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 ZDPQ to be 25° and then walks back a
distance of 1000 feet to R and measures ZPRQ to be 15°.
What is the distance from P to Q?
& nie
15°
R
25°
1000 ft
Transcribed Image Text:In Problems 11–18, solve each triangle. \11. 95 12. a C 13. a 45° b 85 14. a straig angle road. E A 40° 45° 43. Lanll a a 3 125 epe 30° B. 15. 50° 44. Dista deter 16. C a (A 081)ni 17. 45° 40° 5° b 100° 18. a cove C 10° 40° is 17 A In Problems 19–26, solve each triangle. the 30° 100° 45. Lan bef due 19. A = 55°, B = 25°, a = 4 22. A = 70°, B = 60°, 20. A = 50°, C = 20°, a = 3 c = 4 nea 21. B = 64°, C = 47°, b = 6 24. B = 10°, C = 100°, b = 2 In Problems 27–38, two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or 25. A = 40°, B = 40°, 23. А 3D 110°, С — 30°, с %3D3 po pa he c = 2 26. В 3 20°, С -D 70°, а %3 1 1gas triangle at all. Solve any resulting triangle(s). 46. C 27. a = 3, b = 2, A = 50° a 28. b 3D 4, с %3D 3, В %3D 40° 31. a = 7, b = 14, A = 30° 32. b = 2, c = 3, B = 40° 30. a = 2, c = 1, A = 120° 29. b = 9, c = 4, B = 115° 33. b 3D 4, с — 6, В 3 20° 36. b = 4, c = 5, B = 95° 34. a = 3, b = 7, A = 70° 47. itt 37. a = 7, c = 3, C = 12° 35. а 3 8, с %3D 3, С%3D125° Applications and Extensions 38. b = 4, c = 5, B = 40° ni node 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 ZDPQ to be 25° and then walks back a distance of 1000 feet to R and measures ZPRQ to be 15°. What is the distance from P to Q? & nie 15° R 25° 1000 ft
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