Use the inverse of the tangent ratio to find the approximate angle measure at vertex A . Round your answer to the nearest whole degree. side c is 25 side b is 20
To find the angle measure at vertex A, we can use the inverse tangent (or arctan) ratio, which is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this case, side c (opposite angle A) is 25 and side b (adjacent to angle A) is 20.
So, we can use the inverse tangent ratio:
tan(A) = opposite/adjacent = 25/20 = 1.25
To find the angle A, we can use the inverse tangent function:
A = arctan(1.25)
Using a calculator, we find that A ≈ 51.34 degrees.
Rounding to the nearest whole degree, the approximate angle measure at vertex A is 51 degrees.