Question

A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp. How tall is the lamppost?

Answer 1

The solution would be like this for this specific problem:

 

1.8/2 = h / (1+2)

So the lamppost is 2.7 meters tall. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp

The diagram is attached below using the given information

We have two similar triangle

Triangle ACD is similar to triangle ABE. So the sides are in proportional

$\frac{DC}{EB} =\frac{AC}{AB}$

AC = AB + BC = 3m

$\frac{x}{1.8}=\frac{3}{2}$

2x = 1.8 * 3 (cross multiply)

2x = 5.4

Divide by 2 on both sides

x = 2.7

Height of Lamppost is 2.7 meter