9
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5c7ac296-a911-451b-ad18-5ade3ac23e74-3_253_1486_328_292}
\captionsetup{labelformat=empty}
\caption{Fig. 9.1}
\end{figure}
- Jean is designing a model aeroplane. Fig. 9.1 shows her first sketch of the wing's cross-section. Calculate angle A and the area of the cross-section.
- Jean then modifies her design for the wing. Fig. 9.2 shows the new cross-section, with 1 unit for each of \(x\) and \(y\) representing one centimetre.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5c7ac296-a911-451b-ad18-5ade3ac23e74-3_431_1682_970_194}
\captionsetup{labelformat=empty}
\caption{Fig. 9.2}
\end{figure}
Here are some of the coordinates that Jean used to draw the new cross-section.
| Upper surface | Lower surface |
| \(x\) | \(y\) | \(x\) | \(y\) |
| 0 | 0 | 0 | 0 |
| 4 | 1.45 | 4 | -0.85 |
| 8 | 1.56 | 8 | -0.76 |
| 12 | 1.27 | 12 | -0.55 |
| 16 | 1.04 | 16 | -0.30 |
| 20 | 0 | 20 | 0 |
Use the trapezium rule with trapezia of width 4 cm to calculate an estimate of the area of this cross-section.