Final answer:
The value of sinM in the given right triangle is 5/13, which is the ratio of the side opposite to angle M (MN=5) and the hypotenuse (MO=13).
Step-by-step explanation:
The student is asking for the value of sinM in a triangle where the sides are given as MN=5, NO=12, and MO=13. The triangle in question appears to be a right triangle, as the side lengths satisfy the Pythagorean theorem (5^2 + 12^2 = 13^2). To find sinM, we must first identify which angle M represents.
Assuming M is the angle opposite the longest side MO (which is the hypotenuse), we can use the definition of sine as the ratio of the length of the opposite side to the hypotenuse in a right triangle.
SinM = Opposite Side / Hypotenuse = MN / MO = 5 / 13.
Therefore, sinM = 5/13.