Final answer:
In triangle XYZ, with a right angle at Y and an angle of 24 degrees at X, the length of WY can be found using trigonometric ratios. By using the sine ratio, we can find that the length of WY is approximately 7.03.
Step-by-step explanation:
In triangle XYZ, angle Y is a right angle (90 degrees) and angle X is 24 degrees.
Angle ZWY is 81 degrees and the length of XW is 7.1. We need to find the length of WY.
Since angle Y is a right angle, triangle XYZ is a right triangle.
We can use trigonometric ratios to find the length of WY.
Using the sine ratio, we have sin(81) = WY / XW.
Rearranging the equation, we have WY = XW * sin(81).
Substituting the given values, WY = 7.1 * sin(81) = 7.1 * 0.988 = 7.03 (rounded to the nearest tenth).