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Answer:
C
Step-by-step explanation:
Firstly, the triangle we are considering is triangle NOM
Now, the angle we are considering on this triangle is the angle O
mathematically, the sine of an angle is the ratio of the length of the opposite to the length of the hypotenuse of the angle
In this case, the hypotenuse of the angle is the sum of the squares of the two other sides according to Pythagoras’ theorem
Thus, the hypotenuse of the NOM triangle will be;
square root of 3^2 + 4^2 = square root of 25 = 5
The opposite of the angle we are considering is angle M which is 3
So, the sine of the angle we are considering is 3/5