Find the value of y.

A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled x. The longest leg opposite the 60 degree angle is labeled 5 times the square root of 3. The hypotenuse is labeled y.

5
10
15
5 times the square root of 3.



Answer :

The value of y is 10 units if a 30, 60, 90-degree right triangle is drawn. The 60-degree angle labeled option (B) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

A 30, 60, and 90-degree right triangle is drawn. The 60-degree angle is labeled. The shortest leg adjacent to the 60-degree angle is labeled x.

From the diagram:

Apply the sin ratio

sin60 = 5√3/y

√3/2 = 5√3/y

y = (5√3/√3)2

y = 10 units

Thus, the value of y is 10 units if a 0, 60, 90-degree right triangle is drawn. The 60-degree angle labeled option (B) is correct.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

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