Question

The side lengths of a 30-60-90 triangle are in the ratio 1 : 3:2. What issin 30°?

Answer 1

The value of sin 30 is 1/2.

The 30 60 90 triangle is shown below:

The ratio sin is opposite over hypotenuse.

With respect to the angle 30, we see that:

The opposite side is x

The hypotenuse is 2x

Thus, we can write:

$\sin 30=\frac{x}{2x}$

Cancelling out the x's, we have:

$\sin 30=\frac{1}{2}$

Thus, the correct answer is D