Question

Find the measure of the indicated angle to the nearest degree

Answer 1

57°

Explanation:

,using soh cah TOA the sides in the right angle concerning us are the adjacent and hypotenuse

where 14 is the adjacent and 26 is the hypotenuse

...therefore cos(x) ,that is,the unknown angle

cos(x)=14/26

cos(x)=0.5385

cos¹(0.5385)=57.42

Answer 2

It’s the inverse function of cosine again:
cos-1(14/26)= about 57°