Embibe Experts Solutions for Chapter: Some Applications of Trigonometry, Exercise 1: Rajasthan Board-2018

If the ratio of the length of a vertical bar to its shadow is $1:\sqrt{3}$  then find the elevation angle of the sun.

If the elevation angle of a camera situated at the top of a pole from a point $20$ metre away from the base of the pole is $60°$, find the height of the pole.

The angles of elevation of the top of a tower from two points at a distance of $9$ m and $25$ m from the base of the tower in the same straight line are complementary. Find the height of the tower.

A kite, flying at a height of $75 \text{metres}$ from the level ground, is attached to a string inclined at $60°$ to the horizontal, find the length of the string.

From the point on the ground which is $120 \mathrm{m}$ away from the foot of the unfinished tower, the angle of elevation of the top of the tower is found to be $30°$. Find how much height of the tower have to increased so that its angle of elevation at same point become $60°$.

A vertical straight tree $12 \mathrm{m}$ high is broken by strong wind in such a way that its top touches the ground and makes an angle of $30°$ with the ground. Find at what height from the ground did the tree break?