Question

Triangle ABC is a right triangle and cos(22.6o)=B/13. Solve for b and round to the nearest whole number.

Answer 1

The cosine of an angle is equal to the adjacent side divided by the hypotenuse. In a right triangle, the hypotenuse is the longest side. Its value is 13. It also follows that B is the adjacent side.

To solve for B,

B = 13 cos 22.6˚ = 12

The tangent of the angle is equal to the opposite side divided by the adjacent side. Since B is known, therefore the answer is

tan(22.6˚) = a/12 

Answer 2

The answer would be letter C- tan(22.6)=a/12

I hope this helps you all :))