Question

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

Answer 1

Answer:

$\displaystyle x \approx 47.44$

Step-by-step 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,

$\displaystyle \sin( \theta) = \frac{opp}{hypo}$

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

Thus substitute:

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

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:

$\displaystyle x \approx 47.44$