x = 11.8
y = 2.1
Explanation:
We apply the trigonometry ratio SOHCAHTOA
The hypotenuse = 12cm
adjacent = base = y
The opposite (side opposite the angle) = x
The angle = 80 degrees
To get x, we apply sine ratio (SOH)
sin 80 = opposite/hypotenuse
sin 80 = x/12
x = 12 × sin80
x = 12 = 0.9848
x = 11.8176
To the nearest tenth, x = 11.8
To get y, we apply cosine ratio (CAH)
cos80 = adjacent/hypotenuse
cos80 = y/12
y = ×12 cos80
y = × 12 0.1736
y = 2.0832
To the nearest tenth, y = 2.1
