Mathematics
8 Online
hardlyhuman:
Help please!! Just four questions!
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hardlyhuman:
Vocaloid:
so in this example you have the adjacent side (7) and want the hypotenuse, remember which trig ratio this is?
hardlyhuman:
no i dont remember exatly but i do remember doing this before
hardlyhuman:
exactly*
Vocaloid:
no prob
so we would use cos here
cos(theta) = adjacent/hypotenuse
plug in the theta, adjacent, and solve for hypotenuse
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hardlyhuman:
what's the theta?
hardlyhuman:
is that the angle?
Vocaloid:
yes
hardlyhuman:
okay
hardlyhuman:
cos(20)=7/x ?
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Vocaloid:
awesome then solve for x
hardlyhuman:
17.1534
Vocaloid:
hm. is your calculator in radians instead of degrees? I get 7.45
hardlyhuman:
im not sure
Vocaloid:
well anyway if you're having trouble with your calculator you can try wolframalpha.com
when I plug in cos(20)=7/x ? I get 7.45 as the solution
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hardlyhuman:
i've used wolframalpha before and it's pretty Saucety
Vocaloid:
just double checked with my ti-84 and I also get 7.45
you only get 17.154 in radians mode
hardlyhuman:
okay
hardlyhuman:
can you help me with another one please?
Vocaloid:
sure
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hardlyhuman:
thank you
Vocaloid:
this time we have the adjacent side and want the opposite side
so tan(theta) = opposite/adjacent, solve for opposite
hardlyhuman:
okay
hardlyhuman:
tan(40)=x/6 ?
Vocaloid:
yup, solve for x, make sure its in degrees
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hardlyhuman:
okay
hardlyhuman:
5.0346?
Vocaloid:
good but they only want to the nearest hundreth so 5.03
hardlyhuman:
okay, thanks. next one?
Vocaloid:
ok
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hardlyhuman:
Vocaloid:
we have hypotenuse and want the opposite so let's use sin
sin(theta) = opposite/hypotenuse
solve for opposite
hardlyhuman:
k easy peasy
hardlyhuman:
4.4995
Vocaloid:
good, this would round up to 4.50
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hardlyhuman:
awesome
Vocaloid:
opposite and adjacent so tan again
tan(theta) = opposite/adjacent
solve for adjacent
hardlyhuman:
tan(70)=x/6 ?
Vocaloid:
the opposite side is 6 so 6/x not x/6
hardlyhuman:
okay, i wasn't sure
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hardlyhuman:
2.1838
Vocaloid:
good, so round down to 2.18
hardlyhuman:
awesome, thanks so much for your help