## anonymous one year ago The picture shows a portion of a river dam, what is the height, in meters of the river dam?

1. anonymous

2. anonymous

@geerky42

3. anonymous

do you know SOHCAHTOA?

4. anonymous

no i dont

5. anonymous

|dw:1433876092272:dw|

6. anonymous

Your problem has Θ = 40°, you have the adjacent side, and want to find the opposite side. Which trig function should you use?

7. anonymous

tan right?

8. anonymous

right. Try setting up the equation

9. anonymous

tan = $\tan =\frac{ 40 }{ opp }$

10. anonymous

thats not right i did tht wrong

11. anonymous

$\frac{ 100 }{ \sin 40 }$

12. anonymous

So 40° is the angle, so it's tan 40° on the left.

13. anonymous

and 100 is the adjacent side

14. anonymous

tan 40° = h/100 *where h is the variable I'm using for height

15. anonymous

oh okay so $\frac{ 100 }{ \tan 40 }$

16. anonymous

right?

17. anonymous

to get h by itself, multiply both sides by 100.

18. anonymous

h = 100 tan 40°

19. anonymous

ohh i understand it now, thats the answer h=100 tan 40 thanksman!

20. anonymous

you're welcome

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