∠A = 41.81°
Explanation:
To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
[tex]A=sin^{-1}(0.6667)[/tex]
A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
