Embibe Experts Solutions for Chapter: Some Applications of Trigonometry, Exercise 1: Madhya Pradesh Board-2020

Define Angle of Elevation.

At a point $25 \mathrm{m}$ away from the foot of a building, the angle of elevation of the top of the building is $45°$. Find the height of the building.

From the top of $60 \mathrm{m}$ high light house, the angle of depression of the ship is $60°$. Find the distance between the ship and foot of the light house.

The angle of depression of the top and the bottom of an $8m$ tall building from the top of a multi-storeyed building is $30°$and $45°$respectively. Find the height of the multi-storeyed building and distance between the two buildings.

Write the definition of the Line of sight.

An observer $1.5 \mathrm{m}$ tall is $28.5 \mathrm{m}$ away from a chimney. The angle of elevation of the top of the chimney from his eyes is $45°$. What is the height of the chimney?

A circus artist is climbing a $20 \mathrm{m}$ long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is $30°$.

A vertical pole of length $6 \mathrm{m}$ casts shadow $4 \mathrm{m}$ long on the ground and at the same time a tower casts a shadow $28 \mathrm{m}$ long. Find the height of the tower.