2023 · Q92
Consider the following for the next three (03) items that follow: In triangle ABC, AB = 6 cm, BC = 8 cm and AC = 10 cm. The perpendicular dropped from B meets the side AC at D. A circle of radius BD (with centre B) cuts AB and BC at P and Q respectively. If ∠ABD = θ, then what is sinθ equal to?
Elementary MathematicsTrigonometry
- A0.4
- B0.5
- C0.6
- D0.8
Explanation
In the right triangle, AD = AB²/AC = 36/10 = 3.6 cm. In right triangle ABD, sin(∠ABD) = opposite/hypotenuse = AD/AB = 3.6/6 = 0.6 (C).