Question

use the inverse of cosine to find the approximate interior angle measure at vertex a. round your answer to the nearest whole degree

Explanation:

Step1: Recall cosine - ratio formula

In right - triangle \(ABC\) with right - angle at \(C\), \(\cos A=\frac{AC}{AB}\). Here, \(AC = 8\) and \(AB=17\).

Step2: Use inverse cosine function

\(A=\cos^{-1}(\frac{AC}{AB})=\cos^{-1}(\frac{8}{17})\).

Step3: Calculate the angle

Using a calculator, \(\cos^{-1}(\frac{8}{17})\approx62.0^{\circ}\). Rounding to the nearest whole degree, \(A\approx62^{\circ}\).

Answer:

62