What is the value of y?

triangle a b c has right angle c with hypotenuse labeled 8. angle a is 60 degrees and its opposite side b c is labeled y.

enter your answer, as an exact value, in the box.

y = 4√3 is the answer.

Step-by-step explanation:

In the diagram attached we know side AB = 8

Angle A = 60° and side BC = y

We have to find the value of y.

Since sine of angle A = BC/AB = y/8

sin60° = y/8

y = 8sin60°

y = 8×√3/2 = 4√3

Therefore y = 4√3 is the answer.

y=4√3≈6.93

Step-by-step explanation:

We know that:

You know that the triangle is a right triangle and you also know the measure of the hypotenuse. Therefore, you must calculate the opposite side y as following:

sin(60°)=opposite/hypotenuse

Where:

opposite=y

hypotenuse=8

Now, when you substitute and solve for the opposite side, you obtain the following result:

y=8*sin(60°)

y=4√3≈6.93

Thats the correct answer

Step-by-step explanation: