Final answer:
To calculate angle A from sin A = 0.3907, use a calculator with an inverse sine function to get an approximate value of 23 degrees.
Step-by-step explanation:
To find the value of angle A to the nearest degree when given sin A = 0.3907, a calculator with trigonometric function capabilities is required.
Use the inverse sine function (also known as arcsine or sin-1) to calculate the angle.
The steps are as follows:
- Enter the value 0.3907 into the calculator.
- Press the inverse sine function button, often labeled as sin-1 or arcsin.
- The calculator will display the angle in degrees.
If the calculator is set to degree mode, it should provide an angle A that is approximately 23 degrees when rounded to the nearest whole number, based on standard trigonometric tables.