Question

a vertical stick 10 cm long Casts a shadow 8 cm long at the same time a tower casts a shadow 30m long determine the height of the tower

Answer 1

We solve it by proportion.

Define x:

Let the height of the tower be x

Solve x:

length 1/length 2 = shadow 1/shadow 2

10/x = 8 /30

Cross multiply:

8x = 10 x 30

8x = 300

Divide both sides by 8:

x = 37.5 m

Answer: The tower is 37.5 m tall