Chapter 12, Problem 18CR

To determine

Find correct option.

Answer to Problem 18CR

B

Explanation of Solution

Given:

In $\Delta ABC$ , $\angle B=30°$ and c = 20 . For what value(s) of b will the triangle have two solution.

Calculation:

Represent the situation and solve :

  

Since $\angle B=30°$ , which is acute, so ,

  $\begin{array}{l}c\sin 30°<b<c\\ \Rightarrow (20)\frac{1}{2}<b<20\\ \Rightarrow 10<b<20\end{array}$

So, the correct option is B.