Answer: cosine of the complimentary angle is 0.7986
Explanation:
The given angle is
sin 53° ≈ 0.799,
Complementary angles are two angles such that their sum is equal to 90 degrees. The two complimentary angles add up to 90 degrees to give 180 degrees in a right angle triangle. Since the angle given is 53 degrees, the complimentary angle will be
90-53 = 37 degrees.
It is shown in the attached photo.
The cosine of the complimentary angles is cos 37 degrees
Cos 37 degrees = 0.7986