Answer:
Explanation:
In a 30-60-90 triangle, the side lengths are in the ratio 1 : √3 : 2. This means that the shorter leg (the side opposite the 30 degree angle) is 1, the longer leg (the side opposite the 60 degree angle) is √3, and the hypotenuse (the side opposite the 90 degree angle) is 2.
To find the value of tan 30°, you can use the definition of tangent as the ratio of the opposite side to the adjacent side. In this case, the opposite side is the shorter leg (1) and the adjacent side is the longer leg (√3). Therefore, the value of tan 30° is:
tan 30° = 1 / √3 = √3/3 = 1/√3
Therefore, the value of tan 30° is approximately 0.577. Answer A