Question

Find the measure of angle A.

A. 32
B. 57
C. 59
D. No angle exists.

Answer 1

Answer B (57 degrees) is closest

Explanation:

Find the measure of Angle A, if the hypotenuse is 26 and the horizontal leg is 14. If this is true, then

cos A = adj / hyp = 14/26 = 0.5385, and

Angle A = arccos 0.5385, which (via calculator) comes out as 1.002 radian, or 57.421 degrees. Answer B (57 degrees) is closest.

Answer 2

Answer: B

Explanation:

cos X = adjacent / hypotenuse

cos A = 14/26

cos A = 0.54

A = cos^(-1) 0.54

A = 57°