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Mathematics 11 Online
OpenStudy (anonymous):

Last trigonometry question.. need help explaining please

OpenStudy (anonymous):

I almost got this one.. but I'm confused now!

OpenStudy (anonymous):

First I'm doing YXW triangle, not sure if I should use tan, sin, or cos?

hartnn (hartnn):

you want to find sides XY and XW , right ?

OpenStudy (anonymous):

Yes

hartnn (hartnn):

you have side OPPOSITE to 44 , right > so what will u use ?

OpenStudy (anonymous):

Right, opposite is 5.27 then I have x for side XW, is that side adjacent?

hartnn (hartnn):

lets first find hypotenuse XY which trigonometric function will u use ? you have opposite side...

OpenStudy (anonymous):

Tan 44 = 5.27 / x

hartnn (hartnn):

that will directly give you x= XW :)

OpenStudy (anonymous):

x = 5.46?

hartnn (hartnn):

yes!

hartnn (hartnn):

now find XY can you ?

OpenStudy (anonymous):

Oh okay, so now we have to make the triangle bigger to XYZ?

hartnn (hartnn):

XY is just hypotenuse of XYW triangle!

hartnn (hartnn):

so,, we need hypotenuse and side "opposite" to 44 degree angle sin 44 = .. ?

OpenStudy (anonymous):

sin 44 = .6946

hartnn (hartnn):

i mean in that triangle sin 44 = 5.27/XY got this ?

OpenStudy (anonymous):

.6946 = 5.27 / XY okay got it! i'll work it out

OpenStudy (anonymous):

I got XY = 7.59

hartnn (hartnn):

correct! so can you find WZ now ?

OpenStudy (anonymous):

Do I subtract 5.27 from 7.59? Because that is 2.32 and it's one of the answers :D

hartnn (hartnn):

XY is radius = XZ XZ = XW +WZ so, XY = XW +WZ WZ = XY-XW = 7.59 - 5.46 you should also know how :)

hartnn (hartnn):

and yes, 2.32 is correct :) ask if any doubt in any step :)

OpenStudy (anonymous):

@hartnn You're like my second teacher!! Thank you again lol

hartnn (hartnn):

welcome again ^_^ and i am just a student like you :)

OpenStudy (anonymous):

: ))

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