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Mathematics 18 Online
OpenStudy (anonymous):

Find the value of x.

OpenStudy (anonymous):

OpenStudy (anonymous):

Use SoaCaoToa here. Do you know what do to with that?

OpenStudy (anonymous):

No I Dont.

OpenStudy (anonymous):

x =root 40

OpenStudy (anonymous):

\[\sqrt{40}\]

OpenStudy (anonymous):

Ok, so you'll want to use sine, cosine, or tangent here. sin (angle)=opposite/hypotenuse cos (angle)=adjacent/hypotenuse tang (angle)=opposite/adjacent

OpenStudy (anonymous):

(sorry, it should be SohCahToa)

OpenStudy (anonymous):

I dont understand

OpenStudy (diyadiya):

\[\sin x = \frac{oppositeside}{hypotenuse}\]\[Sin30= \frac{5}{x}\]\[\frac{1}{2}= \frac{5}{x} \]\[x=5 \times 2 =10\] \(x=10 \)

OpenStudy (anonymous):

I disagree with amit's choice to use tan. In this case, since we are solving for the hypotenuse, I would use sine instead

OpenStudy (anonymous):

why can u plz explain ?

OpenStudy (diyadiya):

Even if you take tan you'll get the Answer But its better to take sine as we are calculating opposite side And you've done a mistake in calculation

OpenStudy (anonymous):

In this case, we are solving for the hypotenuse and are given the opposite length and an angle measurement. Thus, by the definition, we should use sine here.

OpenStudy (diyadiya):

Oh yeah hypotenuse

OpenStudy (anonymous):

oh !! yea

OpenStudy (anonymous):

actually, diyadia, tan (30) is \[\sqrt{3}/\] so taking the tangent would still give a wrong answer.

OpenStudy (anonymous):

no its 1/sqr 3

OpenStudy (diyadiya):

Tan 30 = 1/sqrt3

OpenStudy (anonymous):

bt i have made a mistake i haven't taken square of 5 here so..i'm got wrong ans..

OpenStudy (anonymous):

yea, i realized that I just it got messed up. You're right, it is 1/sqrt{3}

OpenStudy (anonymous):

bt ans is x=sqr 100 =10 u r right...@ diyadiya

OpenStudy (anonymous):

The equation editor and I are still learning to get along...

OpenStudy (diyadiya):

Lol :)

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

ok so is the answer x:10 ?

OpenStudy (anonymous):

yea any doubt ...

OpenStudy (anonymous):

Yep, the answer is 10. Do you understand how we got there?

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