Embibe Experts Solutions for Chapter: Some Applications of Trigonometry, Exercise 1: Exercise

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height $6 \mathrm{m}$. At a point on the plane, the angle of elevation of the bottom and top of the flag staff are $30°$ and $45°$ respectively. Find the height of the tower. Take $\sqrt{3}=1.73$

As observed from the top of a $100 \mathrm{m}$ high light house from the sea level, the angles of depression of two ships are $30°$ and $45°$. If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships. $[\text{Use} \sqrt{3}=1.732]$

A ladder that is $6 \mathrm{m}$ long is leaning against the side of a building making an angle of $60°$ with the ground. Determine how far the ladder's base is from the building, and how far up it is on the building.

From a point on the ground $40 m$ away from the foot of a tower, the angle of elevation of the top of the tower is $30°$ and the angle of elevation of the top of a water tank is $45°$. Find the depth of the tank.

The angle of elevation of a kite is $60°$ and the length of the string is $40\sqrt{3} \mathrm{m}$. Then the height of the kite from the ground is

The height of a tower is $45\sqrt{3} \mathrm{m}$. The angle of elevation of the top of the tower from a point on the ground at a distance of $45 \mathrm{m}$ from the foot of the tower is _____$°$

The angle of elevation of the top of a tower from a distance of $20 \mathrm{m}$ from its foot is $60°$. Then the height of the tower is _____ $\sqrt{3}$ meter.

If the angle of elevation of the sun is _____$°$ then lengths of a post and its shadow are equal.