Find the magnitudes of sides x and y.

x ≈ 13.8 units

y ≈ 22.0 units

Step-by-step explanation:

We must use trigonometry to address this problem.

First, we know that y is the side opposite to the labelled angle, and x is the side adjacent to the labelled angle. 26 is the length of the hypotenuse.

We use cosine to find x (because cosine = adjacent / hypotenuse) and sine to find y (because sine = opposite / hypotenuse).

cos(58) = x/26

x = 26 * cos(58) ≈ 13.8

sin(58) = y/26

y = 26 * sin(58) ≈ 22.0

Thus, x ≈ 13.8 units and y ≈ 22.0 units.

~ an aesthetics lover