## highschoolmom2010 2 years ago you see a rock climber on a cliff at a 32 degree angle. your eve level is 6 feet from the ground and you stand 1000 feet from the base of the cliff. what is the approx. height of the rock climber from the ground?

1. highschoolmom2010

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2. ankit042

You know how to write sin for a triangle?

3. highschoolmom2010

yes

4. highschoolmom2010

$\sin \frac{ opp }{ hyp }$

5. ankit042

Yes try using this here we know sin30=1/2

6. highschoolmom2010

where did you get that from

7. ankit042

sin30 is a standard angle...It is good to know value of sin 0,30,45,60,90 otherwise you can always use calculator :P

8. highschoolmom2010

oh yea ok

9. ankit042

Now can you proceed from here?

10. highschoolmom2010

eh no not really

11. ankit042

where are you stuck?

12. highschoolmom2010

basically the begining this confused me bc i was given the adjacent side to the angle

13. ankit042

Sorry I couldn't understand you...can you explain more

14. timo86m

you use cos not sin if you are given adjecent. But better yet this problem requires tan :P

15. timo86m

tan because you are given the adjecent. And wanna know the oppossite side.

16. timo86m

17. highschoolmom2010

so i need to use tan

18. timo86m

Yup :D it is the simplest trig ID that has both opp and adj in it.

19. timo86m

tan(30)=opp/adj=x/1000 tan(30)=x/1000 solve for x can you do that?

20. highschoolmom2010

$1000*\tan 30=\frac{ x }{ 1000 }*1000$ $1000( \tan 30)=x$ but the angle is 32 degrees

21. timo86m

1000*tan 32 =x is right so far :D what you do now is evaluate tan 32 in degree mode SOrry at typo

22. timo86m

i must have look at that other guy who say sin 30 lol.

23. highschoolmom2010

1000 tan (32) gave me a crazy answer

24. timo86m

1000*(tan 32) =x ok so we got this far all we do is use our calculator making sure we in degree mode not radian mode tan32=0.62486935190932750978051082794943665831087020284270496 so we jsut plug that in 1000*.6248=624.8 ft sounds believeable. ooh plus 6 feet for the guys height at eye level 624.8+6

25. highschoolmom2010

so rock climber is approx. 630.8' from the ground

26. timo86m

if that is one of your answer choices :D use the one that is closest to our answer. oh and i would go with that lol.

27. ankit042

28. highschoolmom2010

29. highschoolmom2010

@timo86m

30. timo86m

go with 630.8 then