Answer:
C. 3/5
Step-by-step explanation:
Sin of any angle is = perpendicular/ hypotenuse
In any right angle triangle, with side a and b containing right angles and h having hypotenuse, using Pythagoras theorem
[tex]h^2 = a^2 + b^2[/tex]
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In triangle NOM
ON = 4,
NM = 3
lets find OM
using Pythagoras theorem
[tex]OM^2 = ON^2 + NM^2\\=> OM^2 = 4^2 + 3^2\\=>OM^2 =16 + 9 = 25\\=> \sqrt{OM^2} = \sqrt{25} \\=> OM = 5[/tex]
Thus, OM = 5
sin angle NOM = perpendicular/ hypotenuse = NM/OM = 3/5
sin angle NOM = 3/5
