Chapter 8.7, Problem 8ST2

To determine

The value of x to the nearest integer from the given figure.

Answer to Problem 8ST2

The integer value of x is 127

Explanation of Solution

Given information:

The right angled triangle is

  

The given triangle is a right angle triangle with base angle is ${52}^{°}$

From the basic of trigonometry

  $\begin{array}{c}\tan \theta =\frac{perp.}{base}\\ \tan {52}^{°}=\frac{x}{88}\\ x=88\tan {52}^{°}\\ =100\times 1.27\\ =127\end{array}$

Therefore, the integer value of x is 127.