Question

The length of the shadow of a 12cm long vertical rod is 8cm. At the
same time, the length of the shadow of a tower is 40m. Find the height of
the tower.
(a) 60m (b) 60cm
(c) 40cm
(d) 80cm​

Answer 1

Step-by-step explanation:

Given :A vertical stick 12m long casts a shadow 8m long on the ground

To Find : At the same time a tower casts a shadow 40m long on the ground Determine the height of the tower

Solution :

Height of stick = 12 m

Length of shadow of stick = 8 m

Let the height of tower be x

Length of shadow of tower = 40 m

So, ATQ

\frac{12}{8}=\frac{x}{40}

8

12

=

40

x

\frac{12 \times 40}{8}=x

8

12×40

=x

60=x60=x

Hence the height of the tower is 60 m