solve the triangle 1) a=20 b=16 c=? A=? B=60 C=? 2) a=20 b=18 c=? A=? B=60 C=? 3) a=20 b=22 c=? A=? B=60 C=?

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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solve the triangle

1) a=20 b=16 c=? A=? B=60 C=?

2) a=20 b=18 c=? A=? B=60 C=?

3) a=20 b=22 c=? A=? B=60 C=?

Expert Solution
Step 1

1) a=20, b=16, B=60

According to the Law of Sines:

asin(A)=bsin(B)=csin(C)

 

From the above formula, consider asin(A)=bsin(B)

Rearranging this formula:

sin(A)=a·sin(B)b

Substitute the values:

sin(A)=20·sin(60)16=1.08253.

We know that, the maximum value of sine function is 1. Here, we got the value greater than 1. So, these values are not feasible to create a valid triangle. So, we cannot find the missing values.

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