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Mathematics 8 Online
hardlyhuman:

Help please!! Just four questions!

hardlyhuman:

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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

hardlyhuman:

what's the theta?

hardlyhuman:

is that the angle?

Vocaloid:

yes

hardlyhuman:

okay

hardlyhuman:

cos(20)=7/x ?

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

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

hardlyhuman:

thank you

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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

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

hardlyhuman:

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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

hardlyhuman:

awesome

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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

hardlyhuman:

2.1838

Vocaloid:

good, so round down to 2.18

hardlyhuman:

awesome, thanks so much for your help

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