Final answer:
To calculate the length of the unknown leg in a right triangle with a 28-degree angle and one leg of 33, we use the tangent function. Upon computation, the length of the other leg comes out to approximately 62.05 units, which isn't among the provided choices, indicating a possible mistake in the question or answers.
Step-by-step explanation:
To find the length of the other leg in a right triangle where one angle measures 28 degrees and the opposite leg has a length of 33, we use trigonometric ratios. Specifically, we will use the tangent function because it relates the opposite leg to the adjacent leg in a right triangle:
Tan(θ) = Opposite / Adjacent
Here, θ is the angle of 28 degrees and the opposite leg is given as 33. We are looking for the length of the adjacent leg (which we'll call 'a'). Re-arranging the above equation to solve for 'a' gives us:
a = Opposite / Tan(θ)
Substitute the known values:
a = 33 / Tan(28°)
Using a calculator set to degrees, we find that:
a = 33 / 0.5317 ≈ 62.05
The length of the other leg is approximately 62.05 units, which is not one of the offered multiple choice answers. It is possible there might be an error in the question or the provided answer choices.