R S Aggarwal and Veena Aggarwal Solutions for Exercise 2: MULTIPLE-CHOICE QUESTIONS (MCQ)

The tops of two towers of heights $x$ and $y$, standing on a level ground subtend angles of $30°$ and $60°$ respectively at the centre of the line joining their feet. Then, $x:y$ is

The angle of elevation of the top of a tower from a point on the ground $30 \mathrm{m}$ away from the foot of the tower is $30°$. The height of the tower is 

The string of a kite is $100 \mathrm{m}$ long and it makes an angle of $60°$ with the horizontal. If there is no slack in the string, the height of the kite from the ground is 

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

In a rectangle, the angle between a diagonal and a side is $30°$ and the length of this diagonal is $8 \mathrm{cm}$. The area of the rectangle is,

From the top of a hill, the angles of depression of two consecutive $\mathrm{km}$ stones due east are found to be $30°$ and $45°$. The height of the hill is

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

An observer $1.5 \mathrm{m}$ tall is $28.5 \mathrm{m}$ away from a tower and the angle of elevation of the top of the tower from the eye of the observer is $45°$. The height of the tower is