Question

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

Answer 1

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

$h^2 = a^2 + b^2$

___________________________________________

In triangle NOM

ON = 4,

NM = 3

lets find OM

using Pythagoras theorem

$OM^2 = ON^2 + NM^2\\=> OM^2 = 4^2 + 3^2\\=>OM^2 =16 + 9 = 25\\=> \sqrt{OM^2} = \sqrt{25} \\=> OM = 5$

Thus, OM = 5

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

sin angle NOM = 3/5