Respuesta :

The longer leg is opposite the 60, so to get the shorter leg you have to divide by [tex] \sqrt{3} [/tex]

18 / [tex] \sqrt{3} [/tex] = [tex]6 \sqrt{3} [/tex]
facundo3141592

The measures of the legs of the triangle are 9 units and 15.6 units.

What is the length of the other leg?

Here we have a 30°-60°-90° triangle, which is a right triangle.

We know that the hypotenuse measures 18 units, then we can use the trigonometric equations:

cos(60°) = (adjacent cathetus)/18

cos(60°)*18 = adjacent cathetus = 9 units.

sin(60°) = (opposite cathetus)/18

sin(60°)*18 = opposite cathetus = 15.6 units.

So the measures of the legs of the triangle are 9 units and 15.6 units.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

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