In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle o. If the angle XYZ = (theta), calculate the value of sin(theta)
-
A.
(frac{3}{5}) -
B.
(frac{1}{2}) -
C.
(frac{2}{5}) -
D.
(frac{1}{5})
Correct Answer: Option D
Explanation
(frac{5}{sin 36^o} = frac{2}{sin theta} = frac{5}{frac{1}{2}} = frac{2}{sin theta})
10 = (frac{2}{sin theta})
sin(theta) = (frac{2}{10})
= (frac{1}{5})