Chapter 9.2, Problem 1MRE

To determine

To find: the length of $AB.$ .

Answer to Problem 1MRE

  $AB=15$

Explanation of Solution

Given information:

The given figure is as follows:

  

Formula used:

  $\tan \theta =\frac{\text{Opposite side}}{\text{Adjacent side}}$

From the given figure,

  $\begin{array}{l}\tan \theta =\frac{\text{Opposite side}}{\text{Adjacent side}}\\ \tan 30°=\frac{AC}{AB}\\ \frac{1}{\sqrt{3}}=\frac{5\sqrt{3}}{AB}\\ AB=5(3)\\ =15\end{array}$

Hence, $AB=15$