If cos f° = four ninths and the measure of segment XW is 16 units, what is the measure of segment XY?

D. 36 units

Step-by-step explanation:

The description of the triangle is:

triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees

Therefore, side XY is adjacent to f and side XY is the hypotenuse

From definition:

cos (f) = adjacent/hypotenuse

Replacing:

cos (f) = XW/XY

4/9 = 16/XY

XY = 16*9/4

XY = 36 units