Find the measure of each angle to the nearest tenth of a degree.
sin A=0.7245
sin^-1 .7245 = 46.4 deg
in quadrant 1
or in quadrant 2
180 - 46.4 = 133.6 deg
To find the measure of angle A, you can use the arcsin function (also known as inverse sine or sin⁻¹). The arcsin of 0.7245 will give you the angle in radians. To convert it to degrees, multiply by 180/π (approximately 57.3).
Angle A ≈ sin⁻¹(0.7245) ≈ 47.4° (rounded to the nearest tenth of a degree)
To find the measure of angle A, we can use the inverse sine (sin^(-1)) function.
Step 1: Take the inverse sine of 0.7245.
Using a scientific calculator or mathematical software, calculate the inverse sine of 0.7245. The result is approximately 46.9825 degrees.
Step 2: Round the result to the nearest tenth of a degree.
Since we need to round to the nearest tenth of a degree, the answer is 46.9 degrees.
Therefore, the measure of angle A to the nearest tenth of a degree is 46.9 degrees.