Answer: Therefore, the y value rounded to the nearest tenth is 47.9.
Explanation:
To find the value of y, you can use the trigonometric function tangent (tan). First, find the angle between the y-side and the hypotenuse by subtracting the given grades from 180°:
180° - 42° - 85° = 53°
Then, use this angle and the opposite side (31) to solve for y:
tan(53°) = y/31
y = 31 * tan(53°)
y ≈ 47.9
Therefore, the value of y rounded to the nearest tenth is 47.9.