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To find the measure of angle \( M \) given that \( \sin(M) = 0.8 \), we need to use the inverse sine function, denoted as \( \sin^{-1} \) or \( \arcsin \).

\[
M = \sin^{-1}(0.8)
\]

Let's compute the inverse sine to find the measure of angle \( M \) in degrees.The measure of angle \( M \) is approximately \( 53.1 \) degrees, rounded to the nearest tenth of a degree.

Would you like more details or have any questions?

Here are some related questions:
1. What is the cosine of angle \( M \) if \( \sin(M) = 0.8 \)?
2. How can we find the measure of an angle if the cosine is given instead?
3. What are the possible values of angle \( M \) in a unit circle for \( \sin(M) = 0.8 \)?
4. How does the inverse sine function work and what are its limitations?
5. How can trigonometric functions be used to solve right triangle problems?

**Tip:** Remember that the range of the inverse sine function (\(\arcsin\)) is from \(-90^\circ\) to \(90^\circ\).

Find the measure of angle M given sin(M) = 0.8. Round to the nearest tenth of a degree.

Learn how to find the measure of angle M when sin(M) = 0.8. This trigonometry problem uses the inverse sine function to determine the angle, and is suitable for students in Grades 9-12. The result is approximately 53.1 degrees.

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