FOR ASSESSMENT

If the ratio of the height of a vertical tower and the length of its shadow is $\sqrt{3}:1$, and if the angle of elevation of the sun is $k°$, then find the value of $k$.

On the level ground, the angle of elevation of a tower is $30°$. On moving $20 \mathrm{m}$ nearer, the angle of elevation is $60°$. The height of the tower is

If the elevation of the sun changes from $30°$ to $60°$ with the level, then the difference between the lengths of shadows of a pole $15 \mathrm{m}$ high is:

A tower shadows an angle of $30°$ at point on the same level as its foot. At a second point $h \mathrm{metres}$ above the first, the depression of the foot of the tower is $60°$. The height of the tower is

If the angles of elevation of a tower from two points distant $a$ and $b$ ($a>b$) from its foot and in the same straight line from it are $30°$ and $60°$, then the height of the tower is

If the angle of elevation of a cloud from a point $200 \mathrm{m}$ above a lake is $30°$ and the angle of depression of its reflection in the lake is $60°$, then the height of the cloud above the lake is

In a rectangle, the angle between a diagonal and a pole is $30°$ and the length of its diagonal is $8 \mathrm{cm}$. Then the area of the rectangle is

From the top of a cliff $25 \mathrm{m}$ high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is: