Question

(PLEASE HELP) Given the diagram below, what is sin (30°)?

314
O A.
OB.
B.
O C. 1/2
O D.
-13
60°
9
30°
Triangle not drawn to scale

Answer 1

Answer: 1/2

Explanation:

This triangle is a special right triangle (30,60,90)

The hypotenuse of this kind of triangle is 2x, with x being the shortest side and opposite to the 30-degree angle. In this problem we are asked to identify the value of sin(30), meaning that we must calculate the side opposite to the 30-degree angle divided by the hypotenuse. The side opposite to the 30-degree angle must be half of the hypotenuse, so 9/2 = 4.5. Now that we know the value of the side, we can substitute it into the operation of sin(30). Sin(30) = 4.5/9 or 1/2