Answer
The measure of the angle is 73.7 degrees.
Work Step by Step
The first step is to denote "a" as the angle opposite the side that is 24 inches and to use 7 inches as the length of the adjacent side.
We can use the tangent rule of the $ \frac{opposite}{adjcaent} $ to solve for the angle measure.
This equation would be written as $ tan (a) = \frac{24}{7} $. Solving for the right side of the equation would return a value of 3.428. We can then use the inverse of tan to solve for the angle measure.
This is represented by $ tan^-1 (3.428) $ and would return the value of 73.7.
