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Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a = 32, C = 45, LA = 38°

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a = 32, C = 45, LA = 38°

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. а %3D 32, C = 45, = 38° Step 1 The Law of Sines says that in triangle ABC, you have sin(A) sin(B) sin C C). %3D a a C Step 2 To find the missing values for the triangle, which are B, C, and b, since you have A, a, and c, you can use the Law of Sines. Set up and solve the relation for C, using a, c, and A. sin(C) sin 38 %3D 45 32 45(sin( 38 sin(C) %3D 32 This gives rise to two possible values for C. Round your answers to one decimal place. C1 = (smaller value) C2 = (larger value) Submit Skip (you cannot come back)
Transcribed Image Text:Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. а %3D 32, C = 45, = 38° Step 1 The Law of Sines says that in triangle ABC, you have sin(A) sin(B) sin C C). %3D a a C Step 2 To find the missing values for the triangle, which are B, C, and b, since you have A, a, and c, you can use the Law of Sines. Set up and solve the relation for C, using a, c, and A. sin(C) sin 38 %3D 45 32 45(sin( 38 sin(C) %3D 32 This gives rise to two possible values for C. Round your answers to one decimal place. C1 = (smaller value) C2 = (larger value) Submit Skip (you cannot come back)
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