## anonymous one year ago What is the value of tanX? possible answers: 8/9 9/8 8/15 15/8

1. anonymous

2. Nnesha

$\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }$

3. Nnesha

first apply Pythagorean theorem to find 3rd side

4. anonymous

8/17 ?? @Nnesha

5. Nnesha

tan = opposite over adjacent so nope 17 is a hypotenuse

6. Nnesha

hypotenuse is the longest side |dw:1432869486567:dw|

7. Nnesha

you have to use Pythagorean theorem to find 3rd side

8. anonymous

x/8?? @Nnesha

9. Nnesha

nope that's an angle you have to find the length of adjacent side do you know the Pythagorean theorem ?

10. anonymous

a^2+b^2=c^2?? @Nnesha

11. Nnesha

yes right plug in 2 sides of right triangle and find 3rd side :-)

12. anonymous

so 8^2+17^2=x^2?? @Nnesha

13. Nnesha

C is the longest side of right triangle which is hypotenuse so replace C by 17

14. anonymous

OH. okay so 64+x^2=289 -64 -64 x^2=225 x=15 @Nnesha

15. Nnesha

yep that's right

16. Nnesha

so tan X = opposite over adjacent =

17. anonymous

8/15?? @Nnesha

18. Nnesha

yep

19. anonymous

thank you! @Nnesha

20. Nnesha

np :-)