Chapter 4.2, Problem 70E

Solution

To find: find the value of $\sin \theta$

Hence, option C is correct.

Given: A $3-4-5$ right angle triangle with smallest angle $\theta$ .

Concept Used

Trigonometric ratios: $\sin \theta =\frac{perpendicular}{hypotenuse}$

Calculation:

Drawing a figure to represent the situation.

  

From the figure:

In $\Delta ABC:AB=4,BC=3\&AC=5$

  $\begin{array}{c}\sin \angle C=\frac{AB}{AC}\\ \sin \theta =\frac{4}{5}\end{array}$

Conclusion:

Hence, option C is correct.