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.
a. 13.46
b. 6.69
c. 7.43
d. 11.11
To find the value of Y, you can use the sine function since you have the opposite side and the hypotenuse.
sin(48 degrees) = Y / 10
Y = 10 * sin(48 degrees)
Y ≈ 7.43
Therefore, the value of Y to the nearest hundredth is 7.43.
The correct answer is c. 7.43.