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Nina [5.8K]
1 year ago
9

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

Mathematics
1 answer:
VARVARA [1.3K]1 year ago
3 0

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

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Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

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