What is the value of y to the nearest hundredth?

An image shows a right triangle with some labeled angles and sides. The given angles are 48 degrees and 90 degrees. The hypotenuse is labeled 10. The side opposite the 48-degree angle is labeled Y. The side adjacent to the 39-degree angle is not labeled.

1 answer

To find the value of y, we can use the sine of the 48-degree angle, as sine is opposite over hypotenuse in a right triangle.

sin(48 degrees) = y/10

y = 10 * sin(48 degrees)

Using a calculator, we find:

y ≈ 7.26

Therefore, the value of y to the nearest hundredth is 7.26.