**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 15**

**15.** A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

**Given:** AB is a pole of length 6 meters and it casts a shadow of 4 meters on the ground.

PQ is the tower and it casts a shadow of length 28 meters on the ground.

It is absolutely clear that length of shadow is totally dependent on the length of the structure.

We have **{Each 90 degrees}**

Also, sun rays will fall at the same angle on the pole and the tower. Therefore,

Therefore, by **AA similarity criterion**, ~

Therefore, we can say that

**{Corresponding sides of similar triangles are proportional}**

meters

Therefore, the height of tower is 42 meters.