Embibe Experts Solutions for Chapter: Advance Maths, Exercise 3: Exercise 3

A and B are standing on the same side of a wall and observe that angle of elevation to the top of the wall are ${45}^{\mathrm{o}}$ and ${60}^{\mathrm{o}}$ respectively. if the height of the wall is $50$ m, the distance between A and B is:$\sqrt{3}=1.73, \sqrt{2}=1.41$

The angle of depression from the peak of a mountain of height $96 \mathrm{m}$ to the two cars opposite to mountain at the surface is${30}^{\mathrm{o}}$, ${60}^{\mathrm{o}}$ respectively. The approximate distance between the cars is :

A ladder is leaning against a wall make an angle of  ${60}^{\circ }$ with the ground. If the bottom of the ladder is $10$ m away from the base of the wall. Then find the length of the ladder:

From the top of a tower, the angles of depression of two objects on the ground on the same side of it are observed to be $60°$ and $30°$ respectively and the distance between the objects is $400\sqrt{3} \mathrm{m}$. The height (in $\mathrm{m}$) of the tower is:

The angle of elevation of the top of a tower at point on the ground is ${30}^o$. lf on walking $20$ metres towards the tower, the angle of elevation become ${60}^o$, then the height of the tower is:

$P$ and $Q$ are two points observed from the top of a building $10\sqrt{3} m$ high. If the angles of depression of the points are complementary and $PQ=20 m$, then the distance of $P$ from the building is

If the angles of elevation of the top of a tower from two points at distances $a$ and $b$ from the base and in the same straight line with it are complementary, then the height of the tower is

A straight highway leads to the foot of the tower. A man standing at the top of the tower observes the car at an angle of depression of $30°$, which is approaching the foot of the tower with the uniform speed .six seconds later, the angle of depression of the car found is to be $60°$. Find the time taken by the car to reach the foot of the tower from this point ?