2022 · Q78
Triangle ABC is right-angled at C and AC = √3 BC. What is ∠ABC equal to?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A30°
- B45°
- C60°
- D75°
Explanation
tan(∠ABC) = AC/BC = √3, so ∠ABC = 60°. In the right triangle, the side opposite ∠ABC is AC and the adjacent side is BC. The keyed option is C.