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I still don’t understand this very well I don’t know how to set up the equation. Pls help?

It’s trigonometry

I still don’t understand this very well I don’t know how to set up the equation. Pls-example-1
User Rushikesh
by
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1 Answer

3 votes

Answer:


\displaystyle x \approx 47.44

Explanation:

we are given a right angle triangle

we want to figure out x i.e hypotenuse

in order to do so we can consider trigonometry i.e sin

remember that,


\displaystyle \sin( \theta) = (opp)/(hypo)

given that,theta=21° and opp=17 and hypo=x

Thus substitute:


\displaystyle \sin( {21}^( \circ) ) = (17)/(x)

cross multiplication:


\displaystyle x\sin( {21}^( \circ) ) = {17}

divide both sides by sin21°:


\displaystyle x \frac{\sin( {21}^( \circ) ) }{ \sin( {21}^( \circ)) }= \frac{17}{ \sin( {21}^( \circ) ) }

By using calculator we acquire:


\displaystyle x \approx 47.44

User Pranit
by
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