Final answer:
To approximate Angle Q in a right triangle where the ratio of the adjacent leg to the hypotenuse is 0.30, take the inverse cosine of 0.30. A calculator would then provide the degree measurement of Angle Q.
Step-by-step explanation:
If Angle Q is an acute angle in a right triangle and the ratio of the adjacent leg divided by the hypotenuse is 0.30, this ratio represents the cosine of Angle Q because in a right triangle, the cosine of an angle is the adjacent side over the hypotenuse (cos Q = adjacent/hypotenuse). Given that the ratio is 0.30, we can find the angle by taking the inverse cosine (or arccos) of 0.30.
Q = cos-1(0.30).
Using a calculator to find the inverse cosine of 0.30 will give us the value of Angle Q in degrees. Because we do not have a calculator as part of this tool, the exact value is not provided here, but it would typically be a step in solving this problem.