Chapter 13.8, Problem 84S

To determine

Calculate the value of $\theta$ .

Answer to Problem 84S

The value of theta is ${56}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the expression that $\sin \theta =\frac{5}{6}$ .

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

Calculation:

Here, $\sin \theta =\frac{5}{6}$

  $\begin{array}{l}\sin \theta =\frac{5}{6}\\ \theta ={\sin }^{-1}(\frac{5}{6})(Inversetrigo.)\\ \theta ={56}^{\circ }\end{array}$

Conclusion:

The value of theta is ${56}^{\circ }$ .