For this case we have a rectangle triangle where the hypotenuse is 10 feet and the base is 6 feet. It is asked to find the angle that is formed between the base of the triangle and the hypotenuse, which we will call "x".
We know that:
[tex]cosine (x) = \frac {leg \ adjacent} {hypotenuse}[/tex]
Substituting we have:
[tex]cosine (x) = \frac {6} {10}\\cosine (x) = 0.6[/tex]
[tex]x = cosine\ arc\ (0.6)\\x = 53.1301024[/tex]
Rounding off we have:
[tex]x = 53.1[/tex]
Answer:
53.1 degrees
Option C
