## anonymous one year ago Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

1. anonymous

2. anonymous

@kal1921

3. ganeshie8

go to the "angle x" corner of the triangle then stare at the triangle opposite side = ? |dw:1443509158791:dw|

4. ganeshie8

|dw:1443509277116:dw|

5. anonymous

8?

6. ganeshie8

Yes, 8 is the opposite side. and the longest side, 17, is the hypotenuse.

7. ganeshie8

So we know "hypotenuse" and "opposite side". Now, which trig ratio involves those two ?

8. anonymous

I don't know.

9. ganeshie8

You need to know trig ratios before attempting these problems

10. ganeshie8

|dw:1443509562649:dw|

11. anonymous

Sin

12. ganeshie8

Yes, $\sin(x) = \dfrac{\text{opposite}}{\text{hypotenuse}} = \dfrac{8}{17}$

13. ganeshie8

so $$x = \sin^{-1}(\frac{8}{17})$$ use calculator

14. anonymous

What do I type in?

15. ganeshie8
16. ganeshie8

17. anonymous

What do I look at?

18. anonymous

28.07?

19. anonymous

Thank you. :)

20. ganeshie8

Yes, it seems they want the answer in terms of degrees |dw:1443510003285:dw|