Q7 of 32 Page 236

A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

Given: Length of the shadow cast by a pole 5.6m high = 3.2m

To find: Length of the shadow cast by a pole 10.5m high, Height of the pole that casts a 5m long shadow.


Formula:


Substituting x1 = 5.6, y1 = 3.2, x2 = 10.5 in the formula,



Gives y2 =


= 6m


∴Length of the shadow cast by a pole 10.5m high is 6m.


Substituting x1 = 5.6, y1 = 3.2, y2 = 5 in the formula,



Gives x2 =


= 8.75 m


∴Length of the pole which casts a 5m shadow is 8.75m


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A vertical pole of 5.6 m height casts a shadow 3.2 m long. At the same time find (i) the length of the shadow cast by another pole 10.5 m high (ii) the height of a pole which casts a shadow 5m long.

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A train moves at a constant speed of 75 km/hr.

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