A right triangle upper A upper B upper C. The right angle, labeled upper C, is on the bottom left. The hypotenuse, side upper B upper A, slopes downward from top left to bottom right. Side upper A upper C is labeled 25. Side upper C upper B is labeled 20.
Use the inverse of the tangent ratio to find the approximate angle measure at vertex A
. Round your answer to the nearest whole degree.
To find the angle measure at vertex A, we will use the inverse tangent function.
Tangent of angle A can be calculated as:
tan(A) = opposite/adjacent
tan(A) = 25/20
tan(A) = 1.25
Now we need to find the angle, so we will take the arctangent (inverse tangent) of 1.25:
A = arctan(1.25)
A ≈ 51.34 degrees
Therefore, the approximate angle measure at vertex A is 51 degrees (rounded to the nearest whole degree).