Use the inverse of cosine to find the approximate interior angle measure at vertex A . Round your answer to the nearest whole degree. Side AC of the right triangle is 8, Side AB of the right triangle is 17, Side CB of the right triangle is 15
To find the interior angle at vertex A, we can use the inverse cosine function with the given sides of the triangle.
Let's define cos(A) = adjacent side / hypotenuse side
cos(A) = AC / AB
cos(A) = 8 / 17
cos(A) = 0.4706
Now we use the inverse cosine function to find the angle measure at A:
A = cos^(-1)(0.4706)
A ≈ 62 degrees
Therefore, the approximate interior angle measure at vertex A is 62 degrees.