Question

A vertical pole, 2m 80 cm high, casts a shadow
1m 60 cm long. Find, at the same time, the length
of shadow casted by a 5m 25cm high pole.
a) 4 m
b) 500 cm
c) 600 cm
d) 300 cm​

Answer 1

Step-by-step explanation:

Consider there is a direct proportion relation of pole height with pole shadow.

So we have 2m 80cm high verticle pole that casts a shadow of 1m 60cm long .

hence,

(i) for the length of the shadow cast by another pole of 5 m 25cm high would be 'x' cm;

280cm. 525cm

----------. = ------------

160cm. x

finding x from the equation we get;

x=. 300

Therefore for a 10m 50cm pole we would get a shadow of 600cm or 6m length.

(ii) The height of a pole which casts a shadow of 5m long let it be 'y'

similar relation holds here also, so we can apply it once more

,

we get

.

Thus, the height of a pole which casts a shadow of 5m long is 8m 75cm.

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