Question

What is the answer to this

Answer 1

sinE =
`(3)/(5)`

the sine ratio is defined as

sin( angle ) =
`(opposite)/(hypotenuse)`

here the opposite to ∠E is 6 and the hypotenuse is 10

sinE =
`(6)/(10)` =
`(3)/(5)`

Answer 2

`S(O)/(H) C(A)/(H) T(O)/(A)` or
`Sin(Opposite)/(Hypotenuse)Cos(Adjacent)/(Hypotenuse) Tan(Opposite)/(Adjacent)`

At the point/angle E:

- the adjacent side(side next to the point/angle) is ED

- the opposite side(side of the triangle across from the point/angle) is DF

- the hypotenuse (the longest side of the triangle) is EF.

sin ∠E =
`(opposite)/(hypotenuse)`

sin ∠E =
`(6)/(10) = (3)/(5)` (simplified)