642 CHAPTER 7 Applications of Trigonometry Answer each question and justify your response using a diagram, but do not solve. 35 25. Given AABC with LA = 30° and side c = 20cm, %3D %3D (a) what length for side a will produce a right triangle? (b) How many triangles can be formed if side a = 8 cm? (c) If side a = 12 cm, how many %3D triangles can be formed? (d) If side a = 25cm, %3D 36 how many triangles can be formed? 26. Given AABC with LA = 60° and side c = 6V3 m, = 6V3 %3D (a) what length for side a will produce a right triangle? (b) How many triangles can be formed if side a = 8 m? (c) If side a = 10 m, how many triangles can be formed? (d) If side a = 15 m, how %3D %3D many triangles can be formed? 37 Solve using the law of sines and a scaled drawing. If two triangles exist, solve both completely. 27. side b = 385 m 28. side a = 36.5 yd %3D ZB=67° LB =67° %3D %3D side a = 490 m side b = 12.9 yd %3D %3D 30. side c = 10V3 in. 29. side c = 25.8 mi LA = 30° %3D %3D LA=60° side a = 15 in. %3D 38 %3D %3D side a = 12.9 mi 32. side b = 24.9 km %3D %3D 31. side c = 58 mi

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#25

642
CHAPTER 7 Applications of Trigonometry
Answer each question and justify your response using a
diagram, but do not solve.
35
25. Given AABC with LA
= 30° and side c =
20cm,
%3D
%3D
(a) what length for side a will produce a right
triangle? (b) How many triangles can be formed if
side a = 8 cm? (c) If side a = 12 cm, how many
%3D
triangles can be formed? (d) If side a =
25cm,
%3D
36
how many triangles can be formed?
26. Given AABC with LA = 60° and side c = 6V3 m,
= 6V3
%3D
(a) what length for side a will produce a right
triangle? (b) How many triangles can be formed if
side a = 8 m? (c) If side a = 10 m, how many
triangles can be formed? (d) If side a = 15 m, how
%3D
%3D
many triangles can be formed?
37
Solve using the law of sines and a scaled drawing. If two
triangles exist, solve both completely.
27. side b = 385 m
28. side a = 36.5 yd
%3D
ZB=67°
LB =67°
%3D
%3D
side a = 490 m
side b = 12.9 yd
%3D
%3D
30. side c = 10V3 in.
29. side c = 25.8 mi
LA = 30°
%3D
%3D
LA=60°
side a = 15 in.
%3D
38
%3D
%3D
side a = 12.9 mi
32. side b = 24.9 km
%3D
%3D
31. side c = 58 mi
Transcribed Image Text:642 CHAPTER 7 Applications of Trigonometry Answer each question and justify your response using a diagram, but do not solve. 35 25. Given AABC with LA = 30° and side c = 20cm, %3D %3D (a) what length for side a will produce a right triangle? (b) How many triangles can be formed if side a = 8 cm? (c) If side a = 12 cm, how many %3D triangles can be formed? (d) If side a = 25cm, %3D 36 how many triangles can be formed? 26. Given AABC with LA = 60° and side c = 6V3 m, = 6V3 %3D (a) what length for side a will produce a right triangle? (b) How many triangles can be formed if side a = 8 m? (c) If side a = 10 m, how many triangles can be formed? (d) If side a = 15 m, how %3D %3D many triangles can be formed? 37 Solve using the law of sines and a scaled drawing. If two triangles exist, solve both completely. 27. side b = 385 m 28. side a = 36.5 yd %3D ZB=67° LB =67° %3D %3D side a = 490 m side b = 12.9 yd %3D %3D 30. side c = 10V3 in. 29. side c = 25.8 mi LA = 30° %3D %3D LA=60° side a = 15 in. %3D 38 %3D %3D side a = 12.9 mi 32. side b = 24.9 km %3D %3D 31. side c = 58 mi
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