CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time −

(i) the length of the shadow cast by another pole 10 m 50 cm high

(ii) the height of a pole which casts a shadow 5 m long.

Open in App
Solution

(i) Let the length of the shadow of the other pole be x m.

1 m = 100 cm

The given information in the form of a table is as follows.

Height of pole (in m)

5.60

10.50

Length of shadow (in m)

3.20

x

More the height of an object, more will be the length of its shadow.

Thus, the height of an object and length of its shadow are directly proportional to each other. Therefore, we obtain

Hence, the length of the shadow will be 6 m.

(ii) Let the height of the pole be y m.

The given information in the form of a table is as follows.

Height of pole (in m)

5.60

y

Length of shadow (in m)

3.20

5

The height of the pole and the length of the shadow are directly proportional to each other. Therefore,

Thus, the height of the pole is 8.75 m or 8 m 75 cm.


flag
Suggest Corrections
thumbs-up
70
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Inverse Proportions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon