Use the inverse of cosine to find the approximate interior angle measure at vertex A. Round your answer to the nearest whole degree.

Question

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A

Answer 1

To find the approximate interior angle measure at vertex A using the inverse cosine function, you generally need the lengths of two sides of the triangle and the length of the side opposite the angle you are trying to find. The formula is as follows:

\[ \cos(A) = \frac{b^2 + c^2 - a^2}{2bc} \]

Where:

• \( A \) is the angle at vertex A.
• \( a \) is the length of the side opposite angle A.
• \( b \) and \( c \) are the lengths of the other two sides.

Once you have this value, you can find angle A using the inverse cosine:

\[ A = \cos^{-1}\left(\frac{b^2 + c^2 - a^2}{2bc}\right) \]

Please provide the lengths of the sides \( a \), \( b \), and \( c \) so I can calculate the angle for you and round it to the nearest whole degree.