1997 年

In a map of scale $1:500$, the length and breadth of a rectangular field are $2\text{ cm}$ and $3\text{ cm}$ respectively. Find the actual area of this field.

In the figure, $\sin\theta+\tan\theta=$

In the figure, find $\theta$ correct to the nearest degree.

In the figure, the square sandwich $ABCD$ is cut into two equal halves along $EF$ so that $AE:ED=2:1$. Find $\theta$ correct to the nearest degree.

In the figure, the area of $\triangle ABC$ is $18$. Find $\angle ABC$ correct to the nearest degree.

In the figure, $BEA$ is a semicircle. $ABCD$ is a rectangle and $DC$ touches the semicircle at $E$. Find the area of the shaded region.

In the figure, find $x$.

In the figure, $BCA$ is a semicircle. If $AC=6$ and $CB=4$, find the area of the semicircle.

In the figure, $ABCDE$ is a regular pentagon and $ABF$ is an equilateral triangle. Find $\theta$.

In the figure, $EC$ is the tangent to the circle at $C$. Find $\angle CBD$.