Chapter 13.8, Problem 85S

To determine

Calculate the value of $\theta$ .

Answer to Problem 85S

The value of theta is ${16}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the expression that $\tan \theta =\frac{2}{7}$ .

Concept Used: In this, use the concept of inverse trigonometric formula to finding theta and also use the calculator.

Calculation:

Here, $\tan \theta =\frac{2}{7}$

  $\begin{array}{l}\tan \theta =\frac{2}{7}\\ \theta ={\tan }^{-1}(\frac{2}{7})(Inversetrigo.)\\ \theta ={16}^{\circ }\end{array}$

Conclusion:

The value of theta is ${16}^{\circ }$ .