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?

- highschoolmom2010

- katieb

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- highschoolmom2010

|dw:1376760311357:dw|

- ankit042

You know how to write sin for a triangle?

- highschoolmom2010

yes

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## More answers

- highschoolmom2010

\[\sin \frac{ opp }{ hyp }\]

- ankit042

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

- highschoolmom2010

where did you get that from

- 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

- highschoolmom2010

oh yea ok

- ankit042

Now can you proceed from here?

- highschoolmom2010

eh no not really

- ankit042

where are you stuck?

- highschoolmom2010

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

- ankit042

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

- anonymous

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

- anonymous

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

- anonymous

tan(30)=opp/adj=x/1000

- highschoolmom2010

so i need to use tan

- anonymous

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

- anonymous

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

- highschoolmom2010

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

- anonymous

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

- anonymous

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

- highschoolmom2010

1000 tan (32) gave me a crazy answer

- anonymous

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

- highschoolmom2010

so rock climber is approx. 630.8' from the ground

- anonymous

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.

- ankit042

Ohh sorry I made a mistake...was multitasking :(

- highschoolmom2010

i have no answer choices

- highschoolmom2010

@timo86m

- anonymous

go with
630.8 then

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