Answer:
63.0°
Explanation:
You want the measure of an angle in a right triangle with hypotenuse 11 and adjacent side 5.
Cosine
The cosine relation is ...
Cos = Adjacent/Hypotenuse
cos(x) = 5/11
Then the angle is found using the inverse cosine function:
x = arccos(5/11) ≈ 63.0°
The value of x is about 63.0°.
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Additional comment
The calculator's angle mode needs to be set to "degrees."