Tamil Nadu Board Solutions for Chapter: Trigonometry, Exercise 5: Exercise 6.2

If the angle of elevation of the top of a tower from a point on the ground, which is $30 \mathrm{m}$ away from the foot of a tower of height $10\sqrt{3} \mathrm{m}$ is $k°$, find $k$.

A road is flanked on either side by continuous rows of houses of height $4\sqrt{3} \mathrm{m}$ with no space in between them. A pedestrian is standing on the median of the road facing a row house. The angle of elevation from the pedestrian to the top of the house is $30°$. Find the width of the road.

To a man standing outside his house, the angles of elevation of the top and bottom of a window are $60°$ and $45°$ respectively. If the height of the man is $180 \mathrm{cm}$, he is $5 \mathrm{m}$ away from the wall, and the height of the window is $k \mathrm{cm}$, then find the value of $k$. $(\sqrt{3}=1.732)$

A statue of  $1.6 \mathrm{m}$ tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is $60°$ and from the same point the angle of elevation of the top of the pedestal is $40°$. Find the height of the pedestal. $\left(\tan 40°=0.8391,\sqrt{3}=1.732\right)$

A flag pole of height $\text{'}h\text{'}$ metres is on the top of the hemispherical dome of radius $\text{'}r\text{'}$ metres. A man is standing $7 \mathrm{m}$ away from the dome. Seeing the top of the pole at an angle $45°$ and moving $5 \mathrm{m}$ away from the dome and seeing the bottom of the pole at an angle $30°$.

Find the value of $h$. ($\sqrt{3}=1.732$)

A flag pole of height $\text{'}h\text{'}$ metres is on the top of the hemispherical dome of radius $\text{'}r\text{'}$ metres. A man is standing $7 \mathrm{m}$ away from the dome. Seeing the top of the pole at an angle $45°$ and moving $5 \mathrm{m}$ away from the dome and seeing the bottom of the pole at an angle $30°$.

Find the radius of the dome.$\left(\sqrt{3}=1.732\right)$

The top of a $15 \mathrm{m}$ high tower is observed from the bottom and the top on an electric pole with an angle of elevation of $60°$ and $30°$ respectively. If the height of the electric pole is $p \mathrm{cm}$, find the value of $p$.