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

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