In the figure given below,$PQU$ is a right triangle with$\angle PQU = 90°$ . $ST$ is parallel to $RQ, PS = RQ$ and $ST = RU$. 

What is the length of $SR$?

 

 A triangle is drawn inside a square of side length $6 \mathrm{cm}$ as shown in figure given below. 

What is the area of the shaded region ?

A $9 \mathrm{m}$ high street-light pole is broken during a storm. The top end of the pole touches the ground at $30°$. At what height did the pole break?

Two persons are watching a game in a stadium. The distance between them is $1.5 \mathrm{m}$

What is the distance of the second person from the player?

At the toll plaza, a traffic monitoring camera is also installed at a height of $6.2 \mathrm{m}$. It takes pictures of moving vehicles at regular intervals.

The diagram below shows the position of the camera and a car moving away from it after paying the toll in four instances. The speed of the car is $5 \mathrm{m}/\mathrm{s}.$

The angle made by the camera to the car in instance $1$ is $30°$ and changes to $60°$ in instance $4$.What is the distance moved by the car? $(\surd 3=1.73)$