At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?

Solution:

The length of the shadow of Qutub Minar = 80m

The height of Qutub Minar = 72m

The length of of the shadow of the Pole = 1000cm = 10m

Height of pole = x = ?

Length of shadow of Qutub Minar Height of Qutub Minar

80m 72 m

Length of shadow of Pole Height of Pole

10m x = ?

The length of the shadow of an object will be dependent on the height of the object and hence it is directly proportional to each other.

Height of the Pole = x = 72 × (10/80) = 9m

✦ Try This: At a particular time, the length of the shadow of Eiffel Tower whose height is 324 m is 120 m. What will be the height of an electric pole, the length of whose shadow at the same time is 500 cm?

The length of the shadow of Eiffel Tower = 120 m

The height of Eiffel Tower = 324 m

The length of the shadow of the Pole = 2000cm

Height of pole = x = ?

Length of shadow of Eiffel Tower Height of Eiffel Tower

120m 324 m

Length of shadow of Pole Height of Pole

5m x = ?

The length of the shadow of an object will be dependent on the height of the object.

Height of the Pole = x = 324 × (5/120) = 13.5 m

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 82

At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm

Summary:

At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. The height of an electric pole, the length of whose shadow at the same time is 1000 cm is 9m

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