Final answer:
To determine the measure of angle x in a right triangle with given sides, use the formula tan(x) = opposite/adjacent and then calculate the inverse tangent of that ratio, rounding to the nearest tenth.
Step-by-step explanation:
The student is asking to find the measure of the angle x in a right triangle with a given adjacent side measuring 7 units and an opposite side measuring 10.5 units. To find the angle x, one would typically use the tangent function because it involves both the opposite side and the adjacent side of a right triangle. The formula for tangent in relation to angle x is tan(x) = opposite/adjacent. Plugging in the given values, we have tan(x) = 10.5/7.
To find the angle measure, we would take the inverse tangent (also known as arctan or tan-1) of this ratio. Thus, the calculation is x = tan-1(10.5/7). Using a calculator to perform this calculation would provide the angle x in degrees, which should then be rounded to the nearest tenth as the question specifies.