R. D. Sharma Solutions for Chapter: Height and Distance, Exercise 2: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

From a point on the ground, $20 \mathrm{m}$ away from the foot of a vertical tower, the angle of elevation of the top of the tower is $60°$ and the height of the tower is $h \mathrm{m}$. Find the value of $h$. $\left[\sqrt{3}=1.732\right]$

If the angles of elevation of the top of a tower from two points at a distance of $4 \mathrm{m}$ and $9 \mathrm{m}$ from the base of the tower and in the same straight line with it are complementary and the height of the tower is $h \mathrm{m}$, then find the value of $h$.

In the figure, the sum of the angles of depressions from the observing positions $O_1$ and $O_2$ of the object at $A$ is _____$°$

The tops of two towers of height $x$ and $y,$ standing on level ground, subtend angles of $30°$ and $60°$ respectively at the centre of the line joining their feet, then find $\frac{y}{x}$.

The angle of elevation of the top of a tower at a point on the ground is $30°$. What will be the angle of elevation, if the height of the tower is tripled?

$AB$ is a pole of height $6 \mathrm{m}$ standing at a point $B$ and $CD$ is a ladder inclined at angle of $60°$ to the horizontal and reaches up to a point $D$ of pole. If $AD=2.54 \mathrm{m}$ and the length of ladder is $x \mathrm{m}$, then the value of $x$ is (Use $\sqrt{3}=1.73$)?

An observer, $1.7 \mathrm{m}$ tall, is $20\sqrt{3} \mathrm{m}$ away from a tower. The angle of elevation from the eye of an observer to the top of the tower is $30°$. If the height of the tower is $x \mathrm{m}$ then, find the value of $x$.

An observer, $1.5 \mathrm{m}$ tall, is $28.5 \mathrm{m}$ away from a $30 \mathrm{m}$ high tower. Determine the angle of elevation of the top of the tower from the eye of the observer.