Chapter 13.1, Problem 5BCYP

To determine

Calculate the value x .

Answer to Problem 5BCYP

The value of x is ${56.31}^{\circ }$ .

Explanation of Solution

Given:

It is given in that question that the figure below

  

Here, $p=27\&b=18$

Concept Used:

In this used the concept is trigonometric ratio, i.e. $\tan \theta =\frac{p}{b}$

Calculation:

  $\tan \theta =\frac{p}{b}$

  $\begin{array}{l}\tan x^{\circ }=\frac{27}{18}\\ x^{\circ }={\tan }^{-}\frac{27}{18}\\ x={56.31}^{\circ }\end{array}$

Conclusion:

The value of x is ${56.31}^{\circ }$ .