Arihant Expert Team Solutions for Exercise 1: Most Important Questions

A telegraph post gets broken at a point against a storm and its top touches the ground at a distance $20$ m from the base of the post making an angle ${30}^{\mathrm{o}}$ with the ground. What is the height of the post?

A portion of a $30$ m long tree is broken by tornado and the top struck up the ground making an angle ${30}^{\mathrm{o}}$ with ground level. The height of the point where the tree is broken, is equal to:

The angle of elevation of the top of a tower from the bottom of a building is twice than that from its top. What is the height of the building if the height of the tower is $75$ metre and the angle of the top of the tower from the bottom of the building is ${60}^{\mathrm{o}}$?

The shadow of a tower is $15$ m when the sun's elevation is ${30}^{\mathrm{o}}$. What is the length of the shadow when the sun's elevation is ${60}^{\mathrm{o}}$?

Two posts are $25$ m and $15$ m high and the line joining their tips makes an angle of ${45}^{\mathrm{o}}$ with horizontal. The distance between these posts is:

The poles of heights $6 \mathrm{m}$ and $11 \mathrm{m}$ stand vertically upright on a plane ground. If the distance between their feet is $12 \mathrm{m}$, what is the distance between their tops?

The height of a tower is $h$ and the angle of elevation of the top of the tower is $\alpha$. On moving a distance $\frac{h}{2}$ towards the tower, the angle of elevation becomes $\beta$. What is the value of $\left(\cot \mathrm{\alpha }-\cot \mathrm{\beta }\right)$?

A vertical post $15$ ft high is broken at a certain height and its upper part, not completely separated the ground at an angle of ${30}^{°}$. Find the height at which the post is broken.