Question

Mark (✓) against the correct answer
A tree, 6 m tall, casts a 4-m-long shadow. At the same a flag pole casts a 50-m-long shadow. How long is the flag pole?

(a) 50 m
(b) 75 m
(c) $33\frac{1}{3}\mathrm{m}$
(d) none of these

Answer 1

(b) 75 m

Height of the tree that casts a 4 m long shadow = 6 m
Height of the tree that casts a 1 m long shadow = $\frac{6}{4}$ m
∴ Height of the flag pole that casts a 50 m long shadow = $\frac{6}{4}\times 50$ = 75 m