Answer:
The correct answer is 10 units.
To solve this problem, you can use the tangent function, which relates the ratio of the opposite side and the adjacent side of a right triangle.
In this case, the opposite side is 9 units, and the tangent of angle A is 0.45.
Thus, the adjacent side (AB) is equal to 9/0.45, which is equal to 10 units.
Explanation:
Identify the given values of the right triangle: the opposite side is 9 units and the tangent of angle A is 0.45.
Use the tangent function to calculate the adjacent side length: adjacent side = opposite side ÷ tangent(angle A)
Substitute the given values into the equation: adjacent side = 9 ÷ 0.45
Solve for the adjacent side length: adjacent side = 10 units Therefore, the approximate length of AB is 10 units.