Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle

26.8°

Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.

B = cos-1 0.8926

= 26.8°