Question

find the angle \\( \theta \\) in the given ri\\( \frac{\text { proviou }}{} \\) gle. round answers to the nearest hundredth of a radian.
\\( \theta= \\)
question help: \\( \square \\) written example \\( \square \\) message instructor

Explanation:

Step1: Use sine function

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the opposite side to \(\theta\) is \(7\) and the hypotenuse is \(12\). So, \(\sin\theta=\frac{7}{12}\).

Step2: Find \(\theta\)

\(\theta = \sin^{- 1}(\frac{7}{12})\). Using a calculator, \(\sin^{-1}(\frac{7}{12})\approx0.62\) (rounded to the nearest hundredth).

Answer:

\(0.62\)