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?

Question

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 · Answer

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ankit042 · Answer

You know how to write sin for a triangle?

highschoolmom2010 · Answer

yes

highschoolmom2010 · Answer

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

ankit042 · Answer

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

highschoolmom2010 · Answer

where did you get that from

ankit042 · Answer

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 · Answer

oh yea ok

ankit042 · Answer

Now can you proceed from here?

highschoolmom2010 · Answer

eh no not really

ankit042 · Answer

where are you stuck?

highschoolmom2010 · Answer

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

ankit042 · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

highschoolmom2010 · Answer

so i need to use tan

anonymous · Answer

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

anonymous · Answer

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

highschoolmom2010 · Answer

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

anonymous · Answer

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

anonymous · Answer

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

highschoolmom2010 · Answer

1000 tan (32) gave me a crazy answer

anonymous · Answer

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 · Answer

so rock climber is approx. 630.8' from the ground

anonymous · Answer

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 · Answer

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

highschoolmom2010 · Answer

i have no answer choices

highschoolmom2010 · Answer

@timo86m

anonymous · Answer

go with 

630.8  then