Triangle ABC is a right triangle and cos (22.6o) = StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole number. Triangle A B C is shown. Angle A C B is 90 degrees and angle C A B is 22.6 degrees. The length of hypotenuse A B is 13 centimeters, the length of A C is b, and the length of C B is a.

C just did the test

a = 5 and b = 12

Step-by-step explanation:

Step 1: Find angle B

Angle C = 90°

Angle A = 22.6°

Angle B = B

All angles in a triangle are equal to 180°.

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

Step 2: Find the value of side AC 'b'

Hypotenuse = 13

Adjacent = b

Angle A = 22.6°

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

Step 3: Find the value of side CB 'a'

Hypotenuse = 13

Opposite = a

Angle A = 22.6°

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

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