A right triangles hypotenuse is 20 cm long. What is themlength of the side opposite a 60 degree angle?

a- 40
b- 18.5
c- 20
d- 17.3

My answer is 17.3

correct

Answers?!

To determine the length of the side opposite a 60 degree angle in a right triangle, you can use the trigonometric function known as the sine (sin).

In this case, we are given the length of the hypotenuse, which is 20 cm. The side opposite the 60 degree angle is represented by the variable x.

The sine of an angle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse. So, we have the equation:

sin(60°) = x / 20

To solve for x, we multiply both sides of the equation by 20:

20 * sin(60°) = x

Using a calculator, you can find that sin(60°) is approximately 0.866. Therefore:

x = 20 * 0.866

Calculating this, we get:

x ≈ 17.3

So, the length of the side opposite the 60 degree angle is approximately 17.3 cm.

Therefore, the correct answer is (d) 17.3 cm.