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 5m long.
(i) let the length of the shadow of other pole be x m
The given information in the form of table is as follows:
Length of shadow in m | 3.20 | x |
Length of pole in m | 5.60 | 10.50 |
The above information is in direct proportion.
3.20/5.60 = x/10.50
→x = 6m
(ii) let the length of other pole be x m
The given information in the form of table is as follows:
Length of shadow in m | 3.20 | 5 |
Length of pole in m | 5.60 | x |
The above information is in direct proportion.
3.20/5.60 = 5/x
→x = 8.75 m