Question

What is the length of line MN in the picture below??

Answer 1

use the Law of Sines for this, do you know it?

Answer 2

Not well.

Answer 3

\[\frac {A}{\sin(a)} = \frac {B}{\sin(b)}\]

So let the capital A represent the length of a side. and let the lower case a represents the angle. like this:



Make sense?

Answer 4

Kinda. Thanks.

Answer 5

so, we'll finish this together:

if a=65, what would b=?

Answer 6

looking at the triangle I made with the image you put up

Answer 7

b=65

Answer 8

UM!

Answer 9

yep! good,

so then if i said
A=x+10
what is B=?

Answer 10

B=3x

Answer 11

yep, now plug those into our equation from above, and post it up ^_^

Answer 12

15??

Answer 13

A=x+10
B=3x
b=65
a=65

\[\frac {x+10}{\sin(65)} = \frac {3x}{\sin(65)}\]
now solve for x

^_^