Embibe Experts Solutions for Exercise 1: ICSE-2019

The angle of elevation from a point $\mathrm{P}$ of the top of a tower $\mathrm{QR}$, $50 \mathrm{m}$high is $60°$ and that of the tower $\mathrm{PT}$ from a point $Q$ is $30°$. Find the height of the tower $\mathrm{PT}$, correct to the nearest meter.

A man observe the angle of elevation of the top of the tower to be $45°$  He walks towards it in a horizontal line through its base. On covering $20 m$ the angle of elevation changes to $60°$. Fins the height of the tower correct to $2$ significant figures.

From the top of a cliff, the angle of depression of the top and bottom of a tower are observed to be $45°$ and $60°$ respectively. If the height of the tower is $20 \mathrm{m}$, find the height of the cliff.

From the top of a cliff, the angle of depression of the top and bottom of a tower are observed to be $45°$ and $60°$ respectively. If the height of the tower is $20 \mathrm{m}$, find the distance between the cliff and the tower.