Question

Use the tangent ratio to solve for missing side length $AB$ of the right triangle.Triangle Details: Right triangle $ABC$ has a base (side $BC$) of 15. Angle $C$ is labeled $26^{\circ}$.Answersside $AB = 30.75$side $AB = 97.03$side $AB = 6.97$side $AB = 7.32$

Answer 1

Label angle C = 26°. With BC = 15 as the side adjacent to angle C and AB the side opposite angle C, use the tangent ratio:

tan(26°) = opposite/adjacent = AB / 15

So AB = 15 · tan(26°) ≈ 15 · 0.4879 ≈ 7.32.

Answer: AB = 7.32.