Question

A vertical stick 20 cm long casts a shadow 10 m long on the ground. At the same time, a tower casts a shadow 50 m long on the ground. The height of the tower is:

• A. 100 m
• B. 120 m
• C. 25 m
• D. 200 m

Answer 1

The correct option is A

100 m

Figure 4

Let the height of the tower be 'x' metres

Since the two triangles are similar by AA similarity criterion, we have $\frac{x}{50}=\frac{20}{10}$

x = 100 m

Thus the height of the towee is 100 m