The following diagram shows an example ambiguous case trianlge, where side lengths of b =6 and a =7 together with a non-included angle of A =50 degrees could produce two triangle   a) Find the measure of ∠ AB2C. Write the exact value in terms of trig ratios and provide an approximation to two decimal places.   b) Using the approximated measure of angle AB2C from Part a, solve the equation below to find both possible values for side c.                                                7 2= C2 + 62 - 2(c)(6)cos(AB2C)   c) Explain why the equation from part b can be used to find both possible values for c.  then, verify the two solutions using a different method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The following diagram shows an example ambiguous case
trianlge, where side lengths of b =6 and a =7 together with a non-included angle of A =50 degrees could produce two triangle
 
a) Find the measure of ∠ AB2C. Write the exact value in terms of trig ratios and provide an approximation to two decimal places.
 
b) Using the approximated measure of angle AB2C from Part a, solve the equation below to find both possible values for side c.
                  
                            7 2= C2 + 62 - 2(c)(6)cos(AB2C)
 
c) Explain why the equation from part b can be used to find both possible values for c.  then, verify the two solutions using a different method.
 
as6
b=7
50
B1
B2
Transcribed Image Text:as6 b=7 50 B1 B2
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