Find the missing value to the nearest hundredth. sin ________ =8/15

A. 57.77
B. 32.23
C. 28.07
D. 27.82

The correct answer is D. 27.82.

To find the missing value, we need to find the angle whose sine is 8/15. Using inverse trigonometry, we get sin^(-1)(8/15) ≈ 27.82.