The values of x and y are 9.5 units and 15.3 respectively.
Using the parameters given for our Calculation;
- θ = 32°
- x = opposite side
- y = Adjacent side
- 18 = Hypotenus
Using trigonometric concept;
Sin(θ) = opposite/ Hypotenus
Now we have ;
sin(32) = x / 18
x = 18 * sin(32)
x = 9.54 ≈ 9.5 units
To solve for y :
Cos(θ) = Adjacent / Hypotenus
Now we have ;
cos(32) = y / 18
y = cos(32) × 18
y = 15.26 ≈ 15.3 units