Question

a vertical stick 12m long casts a shadow 8m long on the ground At the same time a tower casts a shadow 40m long on the ground Determine the height of the tower

Answer 1

the angle of depression by sun is theta.
tan theta= 12÷8=x÷40
where x is height of tower
on equating we get
x=60m

Answer 2

Answer:

60 m

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

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

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

$60=x$

Hence the height of the tower is 60 m