Chapter 9.7, Problem 19E

To determine

Tofind:The value of $x$

Answer to Problem 19E

  $x= 19.626$

Explanation of Solution

Given information:

Concept Used:

In a right-angled triangle ABC, tangent for acute angle $\angle A$ is the ratio of length of side opposite to angle $\angle A$ to the length of side adjacent to $\angle A$

Calculation:

Basis definition we can say-

  $\begin{array}{l}\tan A=\frac{opposite}{adjacent}\\ \Rightarrow \tan {63}^{\circ }=\frac{x}{10}\\ \Rightarrow 1.9626=\frac{x}{10}\\ \Rightarrow x=\left( 1.9626\right)10\\ \Rightarrow x= 19.626\end{array}$