The measured value of Theta is 53.1 degrees.
Given
The radius of the circle below intersects the unit circle at (3/5, 4/5).
The measure of the tan angle is defined as the ratio of perpendicular by the base.
The measure of the tan theta is;
[tex]\rm Tan\theta=\dfrac{x}{y}[/tex]
Where the value of x is 3/5 and y is 4/5.
Substitute all the values in the formula
[tex]\rm Tan\theta=\dfrac{x}{y}\\\\\rm Tan\theta=\dfrac{\dfrac{4}{5}}{\dfrac{3}{5}}\\\\\\Tan\theta = \dfrac{4}{5} \times \dfrac{5}{3}\\\\Tan \theta=\dfrac{4}{3}\\\\\theta=tan{-1}(\dfrac{4}{3})\\\\\theta=53. 1 \ degrees\\\\[/tex]
Hence, the measured value of Theta is 53.1 degrees.
To know more about Trigonometric ratios click the link given below.
https://brainly.com/question/22698523