Use the tangent ratio to solve for missing side length AB of the right tridigle.
(1 point)
O side AB = 30.75
O side AB = 6.97
O side AB = 97.03
O side AB = 7.32
To solve for the missing side length AB of the right triangle, we need to use the tangent ratio. The tangent ratio is defined as the opposite side divided by the adjacent side in a right triangle.
Since the lengths of the sides AB and the opposite side are given, we can use the tangent ratio to solve for the missing side length AB.
Let's consider the options one by one:
1. AB = 30.75: Since this side length is given, it is not the missing side length that needs to be solved for.
2. AB = 6.97: This is a possibility, but we need to verify it using the tangent ratio. Let's assume that the opposite side is O and the adjacent side is A. According to the tangent ratio, tan(theta) = O/A. In this case, tan(theta) = O/AB = O/6.97. Without knowing the value of O, we cannot confirm if this is the correct side length.
3. AB = 97.03: Again, this is a possibility, but we need to verify it using the tangent ratio. Assuming the opposite side is O and the adjacent side is A, tan(theta) = O/AB = O/97.03. Without knowing the value of O, we cannot confirm if this is the correct side length.
4. AB = 7.32: Similarly, this is a possibility, but we need to verify it using the tangent ratio. Assuming the opposite side is O and the adjacent side is A, tan(theta) = O/AB = O/7.32. Without knowing the value of O, we cannot confirm if this is the correct side length.
In conclusion, we cannot determine the missing side length AB without the value of the opposite side length.