Question

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

Answer 1

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.