Chapter 8.5, Problem 4CE

To determine

To Express: Express $\mathrm{tanS}$ as a ratio from given figure.

Answer to Problem 4CE

The final answer is $\mathrm{tanS}=\frac{8}{3}$

Explanation of Solution

Given information: We have given a figure as shown below

  

From trigonometry in a right angled triangle $\Delta ABC$ , right angle at B

  $\mathrm{tanC}=\frac{legopposite\angle C}{legadjacentto\angle C}$

Therefore, from the given right angle triangle

  $\begin{array}{c}\mathrm{tanS}=\frac{legopposite\angle S}{legadjacentto\angle S}\\ =\frac{8}{3}\end{array}$