A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow

Solution:

Given, the length of a flag pole = 18 m

Also, a flagpole cast a shadow 9.6 m long.

We have to find the distance of the top of the pole from the far end of the shadow.

From the figure,

BC is the flag pole

AB is the shadow cast by the pole

AC is the distance of the top of the pole from the far end of the shadow.

It is clear that ABC is a right triangle with B at right angle.

By pythagoras theorem,

AC² = AB² + BC²

AC² = (9.6)² + (18)²

AC² = 92.16 + 324

AC² = 416.16

Taking square root,

AC = 20.4 m

Therefore, the distance of the top of the pole from the far end of the shadow is 20.4 m.

✦ Try This: An electric pole 19 m high casts a shadow 8.5 m long. Find the distance of the top of the pole from the far end of the shadow.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 6

NCERT Exemplar Class 10 Maths Exercise 6.4 Problem 7

A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow

Summary:

A flag pole 18 m high casts a shadow 9.6 m long. The distance of the top of the pole from the far end of the shadow is 20.4 m

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