Chapter 12.8, Problem 80S

To determine

Calculate the value of $\theta$ .

Answer to Problem 80S

The value of theta is ${61}^{\circ }$ .

Explanation of Solution

Given: It is given in the question that the expression that $\sin \theta =\frac{7}{8}$ .

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

Calculation:

Here, $\sin \theta =\frac{7}{8}$

  $\begin{array}{l}\sin \theta =\frac{7}{8}\\ \theta ={\sin }^{-1}(\frac{7}{8})(Inversetigo.)\\ \theta ={61}^{\circ }\end{array}$

Conclusion:

The value of theta is ${61}^{\circ }$ .