Question

8. analyze the diagram below and complete the instructions that follow

find sin angle NOM
A. 1/4
B. 1/3
C. 3/5
D. 4/5

Answer 1

C. 3/5

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

`h^2 = a^2 + b^2`

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In triangle NOM

ON = 4,

NM = 3

lets find OM

using Pythagoras theorem

`OM^2 = ON^2 + NM^2\\=> OM^2 = 4^2 + 3^2\\=>OM^2 =16 + 9 = 25\\=> √(OM^2) = √(25) \\=> OM = 5`

Thus, OM = 5

sin angle NOM = perpendicular/ hypotenuse = NM/OM = 3/5

sin angle NOM = 3/5