Chapter 6, Problem 8CR

To determine

To calculate:

Solve triangle by using law of sine.

Answer to Problem 8CR

The value is not exist.

Explanation of Solution

Given information:

  $A=15°,a=5,b=10$

Calculation:

Apply sin rule to find other sides,

  $\frac{a}{\sin A}=\frac{b}{\sin B}$

Substitute all the values,

  $\frac{5}{\sin 15°}=\frac{10}{\sin B}$

Multiply both sides by $\sin 20°.4$ ,

  $\begin{array}{l}\sin B=\frac{5}{\sin 15°}\times 10\\ \sin B=\frac{5}{0.258}\times 10\\ \sin B=193.18\end{array}$

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

The value does not exist.

Hence, the value is not exist.