find the measure of the indicated angle to the nearest degree.

Answer:
23°
Step-by-step explanation:
Let the measure of the required angle be [tex]\theta[/tex]
[tex] \implies \: \theta = { \cos}^{ - 1} \: \bigg(\frac{35}{38} \bigg) \\ \\ \implies \: \theta =22.9195421516\\\\ \implies \: \theta =23\degree[/tex]