Question

The radius of the circle below intersects the unit circle at (Three-fifths, four-fifths). What is the approximate value of Theta?

Answer 1

53.1 degrees

Explanation:

Answer 2

`53.13^0`

Explanation:

The radius of the circle intersects the unit circle at
`((3)/(5), (4)/(5))`

It means that at the point of intersection:

`x=(3)/(5),\\y= (4)/(5)`

`Tan \theta =(opposite)/(Adjacent) \\Tan \theta =(4/5)/(3/5) \\Tan \theta =(4)/(3)\\\theta= arctan ((4)/(3))\\\theta \approx 53.13^0`