Question

An iron rod 17m long is placed against the wall in such a way that the foot of the rod is 8 m away from the wall. Find how high the top of the iron rod reaches in the wall​

Answer 1

Answer:

Refer the attachment :)

Answer 2

Given,

• The length of the iron rod = 17 m
• The distance between the foot of the rod and the wall = 8 m

To find,

• We have to find how high the top of the iron rod reaches the wall​.

Solution,

We can simply find how high the top of the iron rod reaches the wall​ by using the Pythagoras theorem.

According to the Pythagoras theorem,

                          (H)² = (B)² + (P)²    (*)

where H is the hypotenuse, B is the base, and P is the perpendicular distance.

The length of the iron rod ' Hypotenuse' = 17 m

The distance between the foot of the rod and the wall 'base'= 8 m

Using (*), we get

                   (17)² = (8)² + (P)²

                    289 = 64 +  (P)²

              289-64 =  (P)²

                   225  =  (P)²

                   $\sqrt{225}$ =  (P)²

                  15 m  = P

Hence, an iron rod 17m long is placed against the wall in such a way that the foot of the rod is 8 m away from the wall, then the height of the top of the iron rod reaches 15 m from the wall​.