A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same ti

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Question
A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ?
Options
A. 1080 cm
B. 180 m
C. 108 m
D. 118 cm

Correct Answer

108 m

Explanation

We know the rule that,

At particular time for all object , ratio of height and shadow are same.

Let the height of the pole be 'H'

Then

$\frac{18}{8} = \frac{H}{48}$

=> H = 108 m.

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1. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30� with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60�. What is the distance between the base of the tower and the point P?
Options
A. Data inadequate
B. 8 units
C. 12 units
D. None of these

2. An observer 1.6 m tall is 20 3 away from a tower. The angle of elevation from his eye to the top of the tower is 30�. The heights of the tower is:
Options
A. 21.6 m
B. 23.2 m
C. 24.72 m
D. None of these

4. Three friends J, K and L jog around a circular stadium and complete one round in 12, 18 and 20 seconds respectively. In how many minutes will all the three meet again at the starting point.
Options
A. 5
B. 8
C. 12
D. 3

6. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30� and 45� respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Options
A. 173 m
B. 200 m
C. 273 m
D. 300 m

7. Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?
Options
A. 6
B. 8
C. 9
D. 10

8. The top and bottom of a tower were seen to be at angles of depression 30� and 60� from the top of a hill of height 100 m. Find the height of the tower ?
Options
A. 42.2 mts
B. 33.45 mts
C. 66.6 mts
D. 58.78 mts

9. A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? ?
Options
A. 14 cm
B. 13.5 cm
C. 12.5 cm
D. 11.4 cm

10. A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?
Options
A. 6.2 m
B. 6.5 m
C. 6.8 m
D. 7.5 m

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