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

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

___________________________________________

In triangle NOM

ON = 4,

NM = 3

lets find OM

using Pythagoras theorem

Thus, OM = 5

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

sin angle NOM = 3/5

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl