To solve for the missing side length AB of the right triangle, we can use the tangent function, which is defined for an angle in a right triangle as the ratio of the length of the opposite side to the length of the adjacent side.
Given angle C=26∘, and the length of the adjacent side BC=15, we want to find the length of the opposite side AB. The tangent function in this case is:
tan(C) = opp/adj
tan(26°) = AB/15
To solve for AB, we can rearrange the equation:
AB = tan(26°) * 15
Now we can use a calculator to find the value of tan(26°) and multiply it by 15 to solve for AB.