Answer:
[tex] \displaystyle \: x= 10.3[/tex]
Step-by-step explanation:
we are given hypotenuse and [tex]\theta[/tex]
we want to figure out x (opposite)
remember that,
[tex] \displaystyle \: \sin( \theta) = \frac{opp}{hypo} [/tex]
here our [tex]\theta [/tex] is 69°
and hypo is 11 and opp is x
so substitute:
[tex] \displaystyle \: \sin( 69 ^{ \circ} ) = \frac{ x}{11} [/tex]
cross multiplication:
[tex] \displaystyle \: x= 11 \sin( 69 ^{ \circ} ) [/tex]
by using calculator:
[tex] \displaystyle \: x= 10.3[/tex]
