Chapter 6, Problem 10CR

To determine

To calculate:

Solve triangle by using law of sine.

Answer to Problem 10CR

The value is not exist.

Explanation of Solution

Given information:

  $B=150°,a=10,b=3$

Calculation:

Apply sin rule to find other sides,

  $\frac{a}{\sin A}=\frac{b}{\sin B}$

Substitute all the values,

  $\frac{10}{\sin A}=\frac{3}{\sin 150°}$

value of $\sin 150°$ is $0.5$ ,

  $\frac{0.5}{3}\times 10=\sin A$

Divide the numbers,

  $\begin{array}{l}\sin A=\frac{5}{3}\\ \sin A=1.666\end{array}$

The value of sin lies in between $0$ and $1$

The value does not exist.

Hence the value is not exist.