Answer:
C: x = 5 and y = (5√3)/2
Explanation:
Looking at the triangle, we can use trigonometric ratios to find x and y since it's a right angled triangle.
Thus;
(5/2)/x = sin 30
x = (5/2)/½
x = 5
Similarly, (5/2)/y = tan 30
tan 30 in surd form is 1/√3
Thus;
(5/2)/y = 1/√3
y = 5/2 × √3
y = (5√3)/2