# Chapter 7 - Applications of Trigonometry and Vectors - Section 7.2 The Ambiguous Case of the Law of Sines - 7.2 Exercises - Page 311: 33

The sum of $A$ and $B$ is greater than $180^{\circ}$, so no triangle exists satisfying the given values.

#### Work Step by Step

$A = 103^{\circ}20'$ $a = 14.6~ft$ $b = 20.4~ft$ Since $b \gt a$, the angle which subtends $b$ must be larger than the angle which subtends $a$. That is: $B \gt A$. However, then the sum of $A$ and $B$ is greater than $180^{\circ}$, so no triangle exists satisfying the given values.

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