In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
diagram (triangle)
Step 02:
trigonometry:
1. equations:
opposite = y
adjacent = x
hypotenuse = 7
angle = 24°
sin θ = opposite / hypotenuse
sin 24 = y / 7
cos θ = adjacent / hypotenuse
cos 24 = x / 7
2. equations:
opposite = x
adjacent = y
hypotenuse = 7
angle = 66°
sin θ = opposite / hypotenuse
sin 66 = x / 7
cos θ = adjacent / hypotenuse
cos 66 = y / 7
That is the full solution.