Question

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 5 m long
pole which casts a shadow 5m long.

Answer 1

(i) 6.0 m

(ii) 8.75 m

Explanation:

The pole : shadow length ratio is ...

5.6 m : 3.2 m = 7 : 4

(i) shadow/pole = 4/7 = ??/10.5

Multiply by 10.5 to get ...

?? = 10.5(4/7) = 6.0 . . . meters

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(ii) pole/shadow = 7/4 = ??/5

Multiply by 5 to get ...

?? = 5(7/4) = 35/4 = 8.75 . . . meters