Mathematics 4024 · O Level · Right-angled triangles
Right-angled triangles — practice question
The diagram depicts an open-top container resting on a horizontal plane. The container is a prism, and trapezium $ABCD$ forms its cross-section. $AB = 28$ cm, $DC = 24$ cm, $AD = 16$ cm and $BF = 29$ cm. Angle $ADC$ and angle $DAB$ are right angles.
(a)[3]
Calculate angle $DCB$.
(b)[3]
Khalil pours water into the empty container at a rate of $4000 \, \text{cm}^3$/minute for $2$ minutes. He claims that the container is now more than two thirds full. Is he correct? Show your working.
(c)[3]
Calculate angle $DFH$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$104^\circ$ approximately” …