Answer:
[tex]\frac{15}{17}[/tex]
Step-by-step explanation:
to find sin theta put [tex]\frac{y}{r}[/tex]
y : leg (height)
r : hypotenuse
we already know that (r) is equal to 17, but we dont know (y)hypotenuse.
to find y we should use this equation:
[tex]c^{2} =x^{2} +y^{2}[/tex]
we dont have y so we will flip the equation:
[tex]c^{2} -x^{2} =y^{2}[/tex]
we dont want the answer to be squared so we will put the equation under squareroot:
[tex]y=\sqrt{c^{2}-x^{2} }[/tex]
now lets solve the equation:
[tex]y=\sqrt{17^{2} -8^{2} }[/tex]
[tex]y=15[/tex]
now that we know y and r we will put y in the equation as shown in the first step:
[tex]\frac{15}{17}[/tex]
