If tan Θ = 1 2 then what is sin Θ?

Tanx=12 is the same as saying that tanx=12/1. We know that tanx is opposite over adjacent. If you draw out a triangle with x in an angle and 12 on the opposite length and 1 on the adjacent, pythagorean theorem can be used to find the hypotenuse, since sinx is opposite over hypotenuse. The hypotenuse is the square root of 145, and therefore sinx is 12/√145