Answer:
theta = 22.6 degrees
Step-by-step explanation:
Here, we want to find the value of theta
To do this , we use the appropriate trigonometric identity
Let us identify the given sides of the triangle
we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12
The trigonometric identity that relates the hypotenuse to the adjacent is the cosine
Mathematically;
cosine of an angle is the ratio of the adjacent to the hypotenuse
Thus, we have it that;
cos theta = 12/13
theta = arc(cos) 12/13
theta= 22.6
