Embibe Experts Solutions for Chapter: Some Applications of Trigonometry, Exercise 1: Bihar Board-2019

If two towers of height $h_1$ and $h_2$ subtend angle $60°$ and $30°$ respectively at the mid-point of line joining their bases, then $\frac{h_1}{h_2}$ is 

A tree of $6 \mathrm{m}$ height casts a $4 \mathrm{m}$ long shadow. At the same time, a flag post casts a shadow $50 \mathrm{m}$ long. The height of post (in m) is 

A pole $6 \mathrm{m}$ high casts a shadow $2\sqrt{3} \mathrm{m}$ long on ground, the sun’s elevation is 

From the top of a $7 m$ high building, the angle of elevation of the top of the cable tower is $60°$ and the angle of depression of its foot is $45°$. Find the height of the tower.

Two poles of equal heights are standing opposite to each other on either side of the road, which is $80 \mathrm{m}$ wide. From a point between them on the ground, the angles of elevation of the top of the poles are $60°$ and $30°$ respectively. Find the height of the poles and the distance of the point from the pole.

The length of the shadow of a $12 \mathrm{m}$ high pillar falling on land is $4\sqrt{3} \mathrm{m}$. The angle of elevation of the sun is

The length of the string of a kite flying at a height of $100 \mathrm{m}$ from the ground and angle of elevation $60°$ is

Two poles of equal heights are standing opposite to each other on either side of the road, which is $60 \mathrm{m}$ wide. From a point between them on the road, the angles of elevation of the top of the poles are $30°$ and $60°$ respectively. Find the heights of the poles and the distance of the point from the poles. (use $\sqrt{3}=1.73$)