Question

http://media.edgenuity.com/evresources/2090747_70b36212-1247-4e31-9d6f-53305ecc8728.png

find sin angle L

Answer 1

The sin of an angle is the opposite side of the triangle divided by the hypotenuse.

So,
To figure the sin(L), you have to figure out the lengths of sides OM and OL

Answer 2

is it a 1:1:2 ratio?

Answer 3

both those triangles are right triangles, you can use the pythagorean theorem on triangle MNO first, to get the length of OM

Answer 4

3^2 + 4^2 = (OM)^2

Answer 5

would it equal 5?

Answer 6

yes , 3-4-5 triangle

Answer 7

okay i think i can do it now, thank you so much!!

Answer 8

now do the same thing on the other triangle to get side OL

Answer 9

12^2 + 5^ 2 = (OL)^2

Answer 10

Then from definition,

\[\sin(L) = \frac{ OM }{ OL }\]