Question

Sin =

-15/17

8/17

15/17

-8/17

Answer 1

`(15)/(17)`

Explanation:

to find sin theta put
`(y)/(r)`

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:

`c^(2) =x^(2) +y^(2)`

we dont have y so we will flip the equation:

`c^(2) -x^(2) =y^(2)`

we dont want the answer to be squared so we will put the equation under squareroot:

`y=\sqrt{c^(2)-x^(2) }`

now lets solve the equation:

`y=\sqrt{17^(2) -8^(2) }`

`y=15`

now that we know y and r we will put y in the equation as shown in the first step:

`(15)/(17)`