## anonymous one year ago What is the length of line AB?

1. anonymous

2. mathstudent55

That's a trick question. Every line has infinite length. Perhaps you mean the length of segment AB?

3. anonymous

Yes that is what i ment

4. anonymous

Is there enough information given to solve it?

5. mathstudent55

We can get these angles using the inverse tangent function. |dw:1436220001584:dw|

6. mathstudent55

I don't think there is enough info on triangle ABP to answer unless we know that segment AB is parallel to segment L1L2. |dw:1436220177111:dw|

7. mathstudent55

If segment AB and segment L1L2 are parallel, then you can find the length of segment AB.

8. anonymous

Ah yes forgot to mention that they are parallel

9. mathstudent55

Then we can use more angles. See below. |dw:1436220516982:dw|

10. mathstudent55

Use the law off sines. |dw:1436220599120:dw|

11. anonymous

573?

12. mathstudent55

No. The angles of the triangle are not that different in size, so one side can't that much smaller than the other side. $$x = \dfrac{4010~ft \cdot \sin 69^o}{\sin 61.9^o}$$ Try again.

13. mathstudent55

BTW, your calculation of the proportion was done correctly. You need to set your calculator to degrees. It is set to radians.

14. anonymous

That is what i thought i did wrong let me try again

15. mathstudent55

ok

16. anonymous

17. mathstudent55

yes

18. anonymous